{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Die Farbe von Graphen kann mit der Option color festgelegt werden.\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p = plot(x^2,0,1, color='red')\n", "p" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Wenn man viele verschiedene Farben benötigt, ist es besser,\n", "eine Parametrisierung des Farbenraums zu verwenden.\n", "Entweder, indem die drei Farbkanäle direkt angegeben werden,\n", "
" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(x^2, x, -1, 1, rgbcolor = [0.5,0.7,0.1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "oder intuitiver anhand anhand des Farbtons in HSV-Koordinaten (engl. hue-saturation-value). Alle drei Koordinaten verlaufen in sage im Intervall [0..1]. Der hue-Wert legt die Wellenlänge fest und mit s=v=1 erhält man reine Grundfarben:
" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1000 graphics primitives" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p = Graphics()\n", "for x in srange(0,1,0.001):\n", " p = p+line([(x,0),(x,1)], hue = x)\n", "p" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Verringerung der Sättigung entspricht dem Zumischen von weißer Farbe:\n", "
" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1000 graphics primitives" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p = Graphics()\n", "for x in srange(0,1,0.001):\n", " p = p+line([(x,0),(x,1)], rgbcolor = hue(x,s=0.5))\n", "p" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "In dieser Variante wird der hue-Wert direkt in RGB-Koordinaten umgewandelt.\n", "
" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 0.40000000000000036, 1.0)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hue(0.6)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "def colorcircle(r, n=360,sat=1, val=1):\n", " p =Graphics()\n", " for k in range(n):\n", " p += point([r*cos(k*pi/180),r*sin(k*pi/180)],color=hue(k/n,s=sat))\n", " return p" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 360 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "colorcircle(1).show(aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 18000 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "disk=Graphics()\n", "for t in srange(0,1,0.02):\n", " disk += colorcircle(t,sat=t)\n", "disk.show(aspect_ratio=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Der Parameter value variiert die Helligkeit und entspricht dem Zumischen von schwarzer Farbe.
" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1000 graphics primitives" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p = Graphics()\n", "for x in srange(0,1,0.001):\n", " p = p+line([(x,0),(x,1)], rgbcolor = hue(x,v=0.5))\n", "p" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "show(p)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Wir nehmen verschiedene Fehlermeldungen unter die Lupe.\n", "
\n", "\n", "\n", "Ein NameError tritt immer bei undefinierten Variablen auf.\n", "
" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'y' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\n", "Ein ValueError besagt,\n", "daß zwar ein Objekt des richtigen Typs übergeben wurde,\n", "das aber einen ungeeigneten Wert hat.\n", "
" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "ename": "ValueError", "evalue": "factorial only defined for non-negative integers", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32mWir wollen eine entsprechende Fehlermeldung in die folgende Funktion einbauen (Catalanzahlen).
" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def cat(n):\n", " if n == 0:\n", " return 1\n", " res = cat(n-1)\n", " for k in range(n-1):\n", " res += cat(k)*cat(n-1-k)\n", " return res" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "42" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cat(5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Die Funktion ist nicht gegen unendliche Rekursion gesichert.\n", "
" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "ename": "RuntimeError", "evalue": "maximum recursion depth exceeded while calling a Python object", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\n", "Eine Möglichkeit ist, einen String mit\n", "der entsprechenden Fehlermeldung zurückzugeben.\n", "
" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def cat(n):\n", " if n < 0:\n", " return \"n nicht positiv\"\n", " if n == 0:\n", " return 1\n", " res = cat(n-1)\n", " for k in range(n-1):\n", " res += cat(k)*cat(n-1-k)\n", " return res" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'n nicht positiv'" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cat(-1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Besser ist es aber, eine richtige Fehlermeldung zu erzeugen,\n", "d.h., eine sogenannte \"Exception\".\n", "Dabei wird nicht einfach abgebrochen,\n", "sondern eine \"Ausnahmesituation\" erzeugt und gleichzeitig\n", "übermittelt, um welche Art von \"Ausnahmesituation\" es sich handelt.\n", "Die entsprechende Anweisung raise\n", "ist Teil der Programmiersprache python.\n", "In unserem Fall soll es analog zum factorial-Beispiel\n", "oben ein ValueError sein.\n", "
" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def cat(n):\n", " if n < 0:\n", " raise ValueError,\"n nicht positiv\"\n", " if n == 0:\n", " return 1\n", " res = cat(n-1)\n", " for k in range(n-1):\n", " res += cat(k)*cat(n-1-k)\n", " return res" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "ename": "ValueError", "evalue": "n nicht positiv", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32mExceptions haben den Vorteil, daß das Programm beim Auftreten eines Fehlers nicht einfach abbricht, sondern man die Möglichkeit hat, für die Ausnahmesituation vorzusorgen. Man kann ausprobieren, ob eine aufgerufene Funktion fehlerlos abläuft, und danach entsprechend der Art des Fehlers vorgehen. Die kritische Funktion wird mit try ausprobiert, und dann die verschiedenen Fehler mit except aufgefangen.
" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "def dog(n): # wenn n <0, dann cat(-n)\n", " try:\n", " print \"trying\"\n", " return cat(n)\n", " print \"succeeded\"\n", " except ValueError:\n", " print \"failed\"\n", " return cat(-n)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "trying\n" ] }, { "data": { "text/plain": [ "1" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dog(1)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "trying\n", "failed\n" ] }, { "data": { "text/plain": [ "1" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dog(-1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n",
"Die Anweisung print \"succeeded\" wird nie erreicht.\n",
"
\n",
"Man kann auch verschiedene Exceptions nacheinander abfragen.\n",
"Bei der Division haben wir zwei Arten von Exceptions gesehen.\n",
"
\n", "Während Division durch eine Liste keinen Sinn ergibt,\n", " könnte man Division durch 0 als unendlich interpretieren:\n", "
" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "def div(n,m):\n", " try:\n", " return n/m\n", " except ZeroDivisionError:\n", " return oo\n", " except TypeError:\n", " print \"geht nicht\"" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "+Infinity" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "div(1,0)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "geht nicht\n" ] } ], "source": [ "div(1,[1,2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "sage kennt außer den bisher behandelten Polynomen und Körpern noch viele andere algebraische Strukturen. Als typisches Beispiel betrachten wir die Gruppe der Permutationen der Ordnung 5.
" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Symmetric group of order 5! as a permutation group" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S5 = SymmetricGroup(5)\n", "S5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Elemente können direkt aus einer Liste erzeugt werden.\n", "Intern wird die Permutation sofort in ein Produkt von Zyklen zerlegt.\n", "
" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1,2)(3,4,5)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p1=S5 ( [2,1,4,5,3])\n", "p1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Allerdings muß die Ordnung übereinstimmen.\n", "
" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "ename": "ValueError", "evalue": "Invalid permutation vector: [6, 2, 1, 4, 5, 3]", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\n", "Die Permutation kann auch direkt als Zyklus eingegeben werden.\n", "
" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2,3)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p2= S5( (2,3))\n", "p2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Dann stehen alle Gruppenoperationen zur Verfügung.\n", "
" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1,3,4,5,2)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p1*p2" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1,2,4,5,3)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p2*p1" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1,2)(3,5,4)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p1^-1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Analog zur linearen Hülle in der linearen Algebra\n", "ist die von einer Familie erzeugte Untergruppe\n", "definiert als die kleinste Gruppe, die die besagte Familie enthält.\n", "
" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Subgroup of (Symmetric group of order 5! as a permutation group) generated by [(2,3), (1,2)(3,4,5)]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G = S5.subgroup([p1,p2])\n", "G" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Die Liste der Elemente.\n", "
" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "120" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(G.list())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Die Verknüpfungstafel. Die Zeilen und Spalten\n", "sind entsprechend der obigen Liste duchnumeriert.\n", "
" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "G.cayley_table()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Es können verschiedene Eigenschaften der Untergruppe abgefragt werden.\n", "
" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.is_abelian()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Wieviele abelsche Untergruppen hat S5?\n", "Zunächst eine Liste aller Untergruppen.\n", "
" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "156" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S5ss = S5.subgroups()\n", "len(S5ss)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Aus dieser Liste wählen wir die abelschen aus.\n", "
" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "87" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SS5ab =[G for G in S5ss if G.is_abelian()]\n", "len(SS5ab)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "sage kennt viele Objekte aus der diskreten Mathematik, wir betrachten als stellvertretendes Beispiel endliche Graphen. Wir beginnen mit einem leeren Graphen:
" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "g = Graph()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "An den Graphen können nach und nach Knoten und Kanten angehängt\n", "werden. Dabei wird keine Kopie angelegt,\n", "sondern der Graph selbst verändert.\n", "
" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graph on 1 vertex" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.add_vertex(0)\n", "g" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "Ein Graph kann mit .show() oder .plot() angezeigt werden.\n", "
" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Nicht vorhandene Knoten werden bei Bedarf automatisch erzeugt.\n", "
" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 6 graphics primitives" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.add_edge(1,2)\n", "g.add_edge(1,0)\n", "g.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "schon vorhandene Kanten oder Knoten werden nicht verdoppelt.\n", "
" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 6 graphics primitives" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.add_edge(1,2)\n", "g.add_edge(1,2)\n", "g.plot()" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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FYnYkAAAqDBMIAKhAn3zyidq3b69q1aopJyeH8gAAcDsUCACoABcvXtQTTzyh8PBwDRo0SFlZWWrZsqXZsQAAqHCsMAFAOR0+fFihoaHKycnRkiVLNHHiRI5oBQC4LQoEAJRDSkqKwsPDVaNGDW3atEmBgYFmRwIAoFKxwgQAN8DhcOjll19Wr1691Lp1axmGQXkAAHgECgQAXKczZ84oODhYs2fP1uzZs7VhwwY1bNjQ7FgAAFQJVpgA4Drs3LlTFotFJ06c0N///ncNHDjQ7EgAAFQpJhAAUEYrVqxQQECAateuLZvNRnkAAHgkCgQAXENxcbEmTJigoUOHKjQ0VOnp6WrWrJnZsQAAMAUrTADwXxw6dEghISHavn273nnnHY0ZM4YjWgEAHo0CAQC/Y8OGDYqMjNTNN9+stLQ0+fv7mx0JAADTscIEAP/BbrfrL3/5i/r27St/f3/ZbDbKAwAA/8IEAgB+49SpUxo6dKjWrl2rp59+WvPnz1e1atXMjgUAgNOgQADAvxiGIavVqtOnT+ubb75Rv379zI4EAIDTYYUJACTFxcUpKChI9erVk2EYlAcAAH4HBQKARysqKlJMTIxiYmI0bNgwbd26Vffcc4/ZsQAAcFqsMAHwWP/85z9ltVr1/fff67333tPIkSPNjgQAgNOjQADwSGvXrlV0dLRuvfVWZWRk6KGHHjI7EgAALoEVJgAepbS0VE8//bT69++vjh07Kjc3l/IAAMB1YAIBwGP8+uuvioqK0saNG/X8889r9uzZ8vbmPgoAANeDAgHAI2RnZ8tqtaqwsFCJiYnq1auX2ZEAAHBJ3HoD4NYcDofefvttde7cWXfccYcMw6A8AABQDhQIAG7rwoULGjFihMaPH68xY8Zo8+bNuuuuu8yOBQCAS2OFCYBb2rdvnywWi/Ly8rRixQpFRUWZHQkAALfABAKA2/n73/8uPz8/FRYWKisri/IAAEAFokAAcBslJSWaM2eOBg8erJ49eyonJ0dt2rQxOxYAAG6FFSYAbuHYsWOKiIjQpk2btHDhQs2YMUNeXl5mxwIAwO1QIAC4vPT0dIWEhKi0tFRJSUnq1q2b2ZEAAHBbrDABcFkOh0NLlixR165dde+998owDMoDAACVjAIBwCWdP39eUVFRmjx5siZNmqSUlBTdcccdZscCAMDtscIEwOXs2bNHFotFBw8e1CeffKLQ0FCzIwEA4DGYQABwKZ9//rnatWsnu92unJwcygMAAFWMAgHAJVy6dEnTp09XSEiIHn30UWVnZ+v+++83OxYAAB6HFSYATu/IkSMKCwtTRkaGXn/9dU2ePJkjWgEAMAkFAoBT27x5s8LCwuTt7a3U1FR17NjR7EgAAHg0VpgAOCWHw6FFixapR48e+tOf/iTDMCgPAAA4AQoEAKdz9uxZhYSEaMaMGZo+fbq+/fZb3XbbbWbHAgAAYoUJgJP57rvvFBwcrCNHjmj16tUaMmSI2ZEAAMBvMIEA4DRWrlyp9u3b66abblJubi7lAQAAJ0SBAGC6ixcvKjY2VpGRkQoODlZmZqbuu+8+s2MBAICrYIUJgKl+/vlnhYaGKjc3V0uXLtW4ceM4ohUAACdGgQBgmuTkZIWHh8vHx0dbtmxRhw4dzI4EAACugRUmAFXObrfrpZdeUu/eveXr6yvDMCgPAAC4CAoEgCp1+vRpDRkyRHPmzNGcOXO0fv16NWjQwOxYAACgjFhhAlBlduzYIYvFopMnT2rNmjV67LHHzI4EAACuExMIAFXigw8+UEBAgOrUqSObzUZ5AADARVEgAFSq4uJijRs3TiNGjFBERITS09PVtGlTs2MBAIAbxAoTgEpz8OBBWa1W7dq1S8uXL1dMTIzZkQAAQDlRIABUisTEREVGRqpu3bpKS0uTn5+f2ZEAAEAFYIUJQIWy2+167rnn1K9fP3Xo0EE2m43yAACAG2ECAaDC5OfnKzo6WuvXr9czzzyjefPmydub+xQAALgTCgSACmGz2WSxWHTu3DmtW7dOffr0MTsSAACoBNwaBFBu7777rjp27KgGDRrIMAzKAwAAbowCAeCGFRYWatSoURozZoxGjBihrVu3qkmTJmbHAgAAlYgVJgA35MCBA7JYLNqzZ4/ef/99DR8+3OxIAACgCjCBAHDdvv76a/n5+encuXPKzMykPAAA4EEoEADKrLS0VPPmzdOAAQPUpUsX5ebmytfX1+xYAACgCrHCBKBMTpw4ocjISCUnJ+vFF1/Uk08+yRGtAAB4IAoEgGvKyspSSEiIioqKtGHDBvXs2dPsSAAAwCTcPgTwuxwOh5YuXarOnTurcePGMgyD8gAAgIejQAC4qoKCAg0bNkwTJ07UuHHjtGnTJt15551mxwIAACZjhQnAFfbu3SuLxaIDBw4oISFBERERZkcCAABOggkEgMt88cUXateunS5evKjs7GzKAwAAuAwFAoAkqaSkRLNmzVJwcLB69+6tnJwctWrVyuxYAADAybDCBEDHjh1TeHi4tmzZoldffVXTpk2Tl5eX2bEAAIATokAAHi4tLU0hISFyOBxKTk5Wly5dzI4EAACcGCtMgIdyOBx6/fXX1a1bNzVr1kyGYVAeAADANVEgAA907tw5hYeHa+rUqZoyZYqSk5N1++23mx0LAAC4AFaYAA/zww8/yGKx6KefftJnn30mq9VqdiQAAOBCmEAAHuTTTz9V+/bt5eXlpdzcXMoDAABuxm63V/p3UCAAD3Dp0iVNnTpVYWFheuyxx5SVlaWWLVuaHQsAAJSTYRiKjY2Vv5+fatasqWrVqqlmzZry9/NTbGysDMOo8O/0cjgcjgr/VABO45dfflFoaKiysrL02muvadKkSRzRCgCAi9u3b5/GjhmjlNRUNW7YQL38feXbopnq1v6DzhZc0I68/dqYu0OHj59Q927dtGz5cjVv3rxCvpsCAbix1NRUhYWFqXr16vrss88UFBRkdiQAAFBOCQkJiomJ0e31btUrk0ZrQKcAVa9e7YrrSkpKtWZrpma+Eacj+acUFxeniIiIcn8/K0yAG3I4HHrllVfUq1cvtWrVStu2baM8AADgBhISEhQdHS1r1yDt+GiphnTreNXyIEnVq1fTkG4dteOjpbJ2DVJUVJQSEhLKnYEJBOBmzpw5o5EjR+qLL77Q7NmztWDBAlWvzoFrAAC4ury8PPn6+sraNUjx86fL27vsswC73a6RCxbp803p2rlzZ7nWmSgQgBvZvXu3goODdezYMX344YcaNGiQ2ZEAAEAF6dG9uw7t26vtHy5V7Vo1//33Fz/4m77YlKY9B39WLZ+bFNTmAb00YZRaNrnrsvcXFBbJd+gENWlxn5JTUm44BytMgJv4+OOP1aFDB9WqVUs2m43yAACAG7HZbEpJTdXCiaMvKw+StHnbLk2wDFDG8sXa8L8vqqSkVH2eeEoFhUWXXVe7Vk0tnDRKKamp5TqdiQIBuLji4mJNnDhR0dHRslgsysjIqLBTFgAAgHN4//33dedtDTWgU8AVr617/XmN6P+IWjW9R74tmuq9edN06Ohx2fbkXXHtwE6BatywgeLj4284C4vRgAv76aefFBISom3btuntt9/W2LFjOaIVAAA3lJGerp5+D/7uD6Z/68z5C5KkenXrXPFa9erV1NPPV5kZGTechQkE4KI2btyotm3b6siRI9q6dasef/xxygMAAG5q93ffybdFs2te53A4NP2v76iTbyu1bnbPVa/xbdFUu3bvvuEsFAjAxdjtdj3//PN65JFH1LZtW9lsNrVr187sWAAAoJLY7XYVFxerbu0/XPPaSa++qZ37/qmE52b/7jW33FxbxcXFstvtN5SHAgG4kFOnTmnw4MGaN2+e5s+fr7Vr16p+/fpmxwIAAJXI29tbPj4+Oltw4b9eF7toqdZszVTymwt1Z8MGv3vdmfMF8vHxua5jYH+L30AALmL79u2yWCw6deqUvvnmGz366KNmRwIAAFWkdatW2pG3/6qvORwOxS5aqi83pStl6ULde0ej//pZO/IOqE3r1jechQkE4ALi4+MVGBioW265RTabjfIAAICHCQwK0sbcHSopKb3itYmvvqmPE5P18bOzVOcPtXT0ZL6OnsxXYVHxFdeWlJQqybZDAYGBN5yFAgE4saKiIo0dO1ajRo1SdHS00tPTde+995odCwAAVLGRI0fq8PETWrM184rX3l79tc6cL1D3iU/qjsci//3fJ0mbrrj2q60ZOnz8hEaOHHnDWXgSNeCkfvzxR1mtVu3evVtLly7VqFGjzI4EAABM1KN7dx3M26sdHy294mFyZcGTqAE3tm7dOrVt21b5+fnKyMigPAAAAC1bvlxH8k9pwsIl132Ckt1u14SFS3Qk/5SWLV9erhwUCMCJlJaW6plnnlH//v0VFBQkm82mhx9+2OxYAADACTRv3lxxcXFakZiskQsWqaCwqEzvKygs0sgFi7QiMVlxcXFq3rx5uXKwwgQ4iZMnTyoqKkobNmzQc889p7lz597w8WoAAMB9JSQkKCYmRrfXu1ULJ43SwE6BV31CdUlJqb7amqEn33hPR/JPKS4uThEREeX+fgoE4ARycnJktVpVUFCghIQEPfLII2ZHAgAATmzfvn0aO2aMUlJT1bhhA/X085Vvi6a65ebaOnO+QDvyDijJtkOHj59Qj+7d9c6yZeWePPwfCgRgIofDoeXLlys2NlYPPfSQPvvsM919991mxwIAAC7CMAzFx8crMyNDu3bvVnFxsXx8fNSmdWsFBAZq5MiRatu2bYV+JwUCMMmFCxc0YcIEffDBBxo/frwWL14sHx8fs2MBAAAXZrfbK30FmidRAybYv3+/LBaL9u7dqw8//FBDhw41OxIAAHADVfH7SX6hCVSxr776Sn5+fiooKFBmZiblAQAAuBQKBFBFSkpKNHfuXA0aNEjdu3dXbm6uHnzwQbNjAQAAXBdWmIAqcPz4cUVERCg1NVUvv/yyZs6cKS8vL7NjAQAAXDcKBFDJMjMzZbVadenSJSUlJalbt25mRwIAALhhrDABlcThcOiNN95Qly5d1KRJExmGQXkAAAAujwIBVIKCggJFR0crNjZWEyZMUGpqqho3bmx2LAAAgHJjhQmoYP/4xz9ksVj0448/auXKlQoPDzc7EgAAQIVhAgFUoFWrVqldu3YqLS1VdnY25QEAALgdCgRQAUpKSjRjxgxZrVb17dtX2dnZeuCBB8yOBQAAUOFYYQLK6ejRowoLC1N6eroWL16sKVOmcEQrAABwWxQIoBy2bNmi0NBQeXl5KSUlRZ06dTI7EgAAQKVihQm4AQ6HQ4sXL1b37t3VsmVLGYZBeQAAAB6BAgFcp3Pnzik0NFTTpk3T1KlTtXHjRjVq1MjsWAAAAFWCFSbgOnz//fcKDg7WL7/8olWrVik4ONjsSAAAAFWKCQRQRn/729/Uvn171ahRQ7m5uZQHAADgkSgQwDVcvHhRU6ZMUUREhAYNGqTMzEzdd999ZscCAAAwBStMwH9x+PBhhYaGKicnR2+88YYmTJjAEa0AAMCjUSCA35GcnKyIiAjddNNN2rx5swICAsyOBAAAYDpWmID/4HA49PLLL6t3795q06aNDMOgPAAAAPwLBQL4jTNnzmjIkCGaPXu2Zs+ercTERDVo0MDsWAAAAE6DFSbgX3bu3CmLxaITJ07oq6++0oABA8yOBAAA4HSYQACSPvroIwUEBKh27dqy2WyUBwAAgN9BgYBHKy4u1vjx4zVs2DCFhYUpIyNDzZo1MzsWAACA02KFCR7r0KFDslqt2rFjh5YtW6aYmBiOaAUAALgGCgQ80oYNGxQZGambb75ZaWlp8vf3NzsSAACAS2CFCR7FbrdrwYIF6tu3r9q1ayebzUZ5AAAAuA5MIOAx8vPzNXToUK1bt05//vOfNX/+fHl706EBAACuBwUCHsEwDFksFp09e1Zr165V3759zY4EAADgkrj9CrcXFxenoKAg/fGPf5TNZqM8AAAAlAMFAm6rsLBQo0ePVkxMjIYPH66tW7fqnnvuMTsWAACAS2OFCW7pwIEDslqt+uGHHxQfH68RI0aYHQkAAMAtUCDgdr755htFR0erXr16ysjI0EMnwVrlAAARV0lEQVQPPWR2JAAAALfBChPcRmlpqZ5++mk99thj6ty5s2w2G+UBAACggjGBgFv49ddfFRUVpY0bN+r555/X7NmzOaIVAACgElAg4PKys7NltVpVWFioxMRE9erVy+xIAAAAbotbtHBZDodDb731ljp16qQ77rhDhmFQHgAAACoZBQIu6cKFCxo+fLgmTJigsWPHavPmzbrrrrvMjgUAAOD2WGGCy8nLy5PFYtH+/fu1YsUKRUVFmR0JAADAYzCBgEv5+9//Ln9/fxUXFysrK4vyAAAAUMUoEHAJJSUlmj17tgYPHqxevXopJydHrVu3NjsWAACAx2GFCU7v2LFjioiI0ObNm/XKK69o+vTp8vLyMjsWAACAR6JAwKmlp6crJCREpaWlSkpKUteuXc2OBAAA4NFYYYJTcjgc+utf/6quXbuqadOmMgyD8gAAAOAEKBBwOufPn1dkZKSmTJmi2NhYJScn64477jA7FgAAAMQKE5zMnj17ZLFYdOjQIX366acKCQkxOxIAAAB+gwkEnMbnn3+udu3ayeFwKDs7m/IAAADghCgQMN2lS5c0ffp0hYSEqH///srOztb9999vdiwAAABcBStMMNWRI0cUGhqqzMxMvf7665o8eTJHtAIAADgxCgRMs3nzZoWGhqpatWpKTU1Vx44dzY4EAACAa2CFCVXO4XDo1VdfVY8ePXT//ffLMAzKAwAAgIugQKBKnT17ViEhIZo5c6ZmzJihb7/9VrfddpvZsQAAAFBGrDChyuzevVsWi0VHjx7VF198ocGDB5sdCQAAANeJCQSqREJCgjp06KCbbrpJubm5lAcAAAAXRYFApbp48aJiY2MVFRWl4OBgZWZmqkWLFmbHAgAAwA1ihQmV5ueff1ZISIhsNpuWLl2qcePGcUQrAACAi6NAoFIkJSUpPDxctWrV0tatW9W+fXuzIwEAAKACsMKECmW32/Xiiy/qkUce0cMPPyzDMCgPAAAAboQCgQpz+vRpDRkyRHPnztXcuXO1bt061a9f3+xYAAAAqECsMKFCbN++XRaLRfn5+fr666/Vv39/syMBAACgEjCBQLl98MEHCgwM1C233CKbzUZ5AAAAcGMUCNywoqIiPf744xoxYoQiIyOVlpampk2bmh0LAAAAlYgVJtyQgwcPymq1ateuXXr33Xc1evRosyMBAACgClAgcN0SExMVGRmpunXrKi0tTX5+fmZHAgAAQBVhhQllZrfb9eyzz6pfv34KCAiQzWajPAAAAHgYJhAok5MnTyo6OlqJiYl69tln9dRTT8nbm/4JAADgaSgQuCabzSaLxaJz585p3bp16tOnj9mRAAAAYBJuIeN3ORwOLV++XEFBQWrYsKEMw6A8AAAAeDgKBK6qsLBQo0eP1tixYzVq1Cht2bJFTZo0MTsWAAAATMYKE66wf/9+Wa1W7dmzRx988IGGDRtmdiQAAAA4CSYQuMyaNWvk5+enc+fOKTMzk/IAAACAy1AgIEkqLS3VU089pYEDB6pr167Kzc2Vr6+v2bEAAADgZFhhgk6cOKHIyEglJyfrpZde0syZMzmiFQAAAFdFgfBwWVlZslqtKi4u1rfffqsePXqYHQkAAABOjNvMHsrhcGjp0qXq3Lmz7rrrLm3bto3yAAAAgGuiQHiggoICDR06VBMnTtS4ceOUmpqqxo0bmx0LAAAALoAVJg+zd+9eWSwWHThwQAkJCYqIiDA7EgAAAFwIEwgPsnr1avn7++vSpUvKzs6mPAAAAOC6USA8QElJiZ588klZLBb16dNH2dnZatWqldmxAAAA4IJYYXJzR48eVXh4uLZu3apFixZp6tSp8vLyMjsWAAAAXBQFwo2lpaUpJCREDodDKSkp6ty5s9mRAAAA4OJYYXJDDodDr7/+urp166bmzZvLMAzKAwAAACoEBcLNnDt3TuHh4Zo6daqmTJmipKQk3X777WbHAgAAgJtghcmN/PDDDwoODtbhw4f12WefyWq1mh0JAAAAboYJhJv49NNP1a5dO3l7eysnJ4fyAAAAgEpBgXBxly5d0hNPPKGwsDANHDhQWVlZatmypdmxAAAA4KZYYXJhhw8fVlhYmLKysrRkyRJNnDiRI1oBAABQqSgQLiolJUXh4eGqUaOGNm/erMDAQLMjAQAAwAOwwuRiHA6HFi5cqF69eqlVq1YyDIPyAAAAgCpDgXAhZ86cUXBwsGbNmqVZs2Zpw4YNatiwodmxAAAA4EFYYXIRu3btksVi0fHjx/Xll19q0KBBZkcCAACAB2IC4QJWrFihDh06qFatWsrNzaU8AAAAwDQUCCdWXFysiRMnaujQoQoJCVFGRoaaN29udiwAAAB4MFaYnNShQ4cUEhKi7du36+2339bYsWM5ohUAAACmo0A4oW+//VYRERGqXbu2tm7dqnbt2pkdCQAAAJDECpNTsdvtev7559WnTx/5+fnJZrNRHgAAAOBUKBBO4tSpUxo0aJDmzZun+fPna+3atapfv77ZsQAAAIDLsMLkBLZt2yaLxaLTp0/rm2++0aOPPmp2JAAAAOCqmECYLD4+XkFBQbr11ltls9koDwAAAHBqFAiTFBUVacyYMRo1apSio6OVlpame++91+xYAAAAwH/FCpMJ/vnPf8pqter7779XXFycRo0aZXYkAAAAoEwoEFVs3bp1ioqK0v/8z/8oPT1dDz/8sNmRAAAAgDJjhamKlJaW6s9//rP69++voKAg2Ww2ygMAAABcDhOIKnDy5ElFRUVpw4YNWrBggebMmSNvb7obAAAAXA8FopLl5OTIarWqoKBAiYmJ6t27t9mRAAAAgBvGbfBK4nA49M4776hTp05q1KiRDMOgPAAAAMDlUSAqwYULFzRixAiNGzdOMTEx2rx5s+6++26zYwEAAADlxgpTBdu3b58sFovy8vL00UcfKTo62uxIAAAAQIVhAlGBvvrqK/n7++vChQvKysqiPAAAAMDtUCAqQElJiebOnatBgwape/fuys3NVZs2bcyOBQAAAFQ4VpjK6fjx44qIiFBqaqpefvllzZw5U15eXmbHAgAAACoFBaIcMjIyFBISokuXLikpKUndunUzOxIAAABQqVhhugEOh0NLlixRly5d1KRJExmGQXkAAACAR6BAXKeCggJFRUVp8uTJmjRpklJTU9W4cWOzYwEAAABVghWm6/CPf/xDFotFP/74o/72t78pLCzM7EgAAABAlWICUUarVq1Su3btVFpaquzsbMoDAAAAPBIF4houXbqkGTNmyGq1qm/fvsrOztYDDzxgdiwAAADAFKww/RdHjhxRWFiYMjIytHjxYk2ZMoUjWgEAAODRKBC/Y8uWLQoNDZWXl5dSUlLUqVMnsyMBAAAApmOF6T84HA699tpr6t69u1q2bCnDMCgPAAAAwL9QIH7j3LlzCg0N1fTp0zVt2jRt3LhRjRo1MjsWAAAA4DRYYfqX7777ThaLRb/88otWrVql4OBgsyMBAAAATocJhKSVK1eqffv2qlGjhnJzcykPAAAAwO/w6AJx8eJFTZ48WZGRkRoyZIgyMzN13333mR0LAAAAcFoeu8L0888/KzQ0VLm5uXrzzTc1fvx4jmgFAAAArsEjC0RycrLCw8Pl4+OjzZs3KyAgwOxIAAAAgEvwqBUmu92ul156Sb1795avr68Mw6A8AAAAANfBYwrE6dOnNWTIEM2ZM0dz5szR+vXr1aBBA7NjAQAAAC7FI1aYdu7cqeDgYP3666/66quvNGDAALMjAQAAAC7J7ScQH374oQICAlSnTh3ZbDbKAwAAAFAOblsgiouLNX78eA0fPlzh4eFKT09Xs2bNzI4FAAAAuDS3XGE6dOiQrFarduzYoWXLlikmJoYjWgEAAIAK4HYFIjExUVFRUbr55puVlpYmf39/syMBAAAAbsNtVpjsdruee+459evXT+3atZPNZqM8AAAAABXMLSYQ+fn5io6O1vr16/XMM89o3rx58vZ2m24EAAAAOA2XLxCGYchisejs2bNau3at+vbta3YkAAAAwG259G36uLg4BQUFqX79+jIMg/IAAAAAVDKXLBCFhYUaPXq0YmJiNHz4cG3ZskVNmjQxOxYAAADg9lxuhenAgQOyWq364YcfFB8frxEjRpgdCQAAAPAYLlUgvv76aw0dOlT16tVTRkaGHnroIbMjAQAAAB7FJVaYSktLNX/+fA0YMECdO3eWzWajPAAAAAAmcPoJxK+//qrIyEglJSXphRde0KxZsziiFQAAADCJUxeI7OxsWa1WFRUVacOGDerZs6fZkQAAAACP5pS38h0Oh9566y116tRJjRs3lmEYlAcAAADACVRJgbDb7WW+9sKFCxo2bJgmTJigxx9/XJs2bdKdd95ZiekAAAAAlFWlFAjDMBQbGyt/Pz/VrFlT1apVU82aNeXv56fY2FgZhnHV9+Xl5SkgIECrV6/WihUrtGTJEt10002VEREAAADADfByOByOivqwffv2aeyYMUpJTVXjhg3Uy99Xvi2aqW7tP+hswQXtyNuvjbk7dPj4CXXv1k3Lli9X8+bNJUlffvmlhg8frkaNGmnVqlVq3bp1RcUCAAAAUEEqrEAkJCQoJiZGt9e7Va9MGq0BnQJUvXq1K64rKSnVmq2ZmvlGnI7kn9KyZcu0a9cuLVy4UMHBwYqPj1fdunUrIhIAAACAClYhBSIhIUHR0dGK7tNDS5+MVe1aNa/5noLCIo1fuEQfr0+SvLz0yiuvaNq0afLy8ipvHAAAAACVpNwFIi8vT76+vrJ2DVL8/On/fkbD5m279OrHn8v2jzwd+TVfq196WoO7Bl32XrvdruHPvapVqWnatXv3v9eZAAAAADincv+I+vGxY3XHH2/V0idjL3vAW0FRkR5sca+WTJ/w+1/u7a23Z03WHfX/qLFjxpQ3CgAAAIBKVq4HydlsNqWkpmrVi/OvWFvqF9hO/QLbXfMzateqqYWTRsk65y8yDENt27YtTyQAAAAAlahcE4j3339fd97WUAM6BZQrxMBOgWrcsIHi4+PL9TkAAAAAKle5CkRGerp6+j141dOWrkf16tXU089XmRkZ5focAAAAAJWrXAVi93ffybdFswoJ4tuiqXbt3l0hnwUAAACgctxwgbDb7SouLlbd2n+okCC33FxbxcXFstvtFfJ5AAAAACreDRcIb29v+fj46GzBhQoJcuZ8gXx8fC47yQkAAACAcynXKUytW7XSjrz9V33t/IVC7fv5l3//+5+/HNX2vftVr24d3d2o4RXX78g7oDatW5cnDgAAAIBKVq4CERgUpC8+/UQlJaVX/JA6d89e9Zg469//nv7XZZKk4Y/2Uvz8GZddW1JSqiTbDg0JDStPHAAAAACVrFxPojYMQ35+flr14nwN6dbxhkOsTt0q65y/yGaz8RwIAAAAwImVq0BIUo/u3XUwb692fLT0iofJlUVBYZF8h05Qkxb3KTklpTxRAAAAAFSycv9iedny5TqSf0oTFi657hOU7Ha7JixcoiP5p7Rs+fLyRgEAAABQycpdIJo3b664uDitSEzWyAWLVFBYVKb3FRQWaeSCRVqRmKy4uDg1b968vFEAAAAAVLJyrzD9n4SEBMXExOj2erdq4aRRGtgp8KpPqC4pKdVXWzP05Bvv6Uj+KcXFxSkiIqIiIgAAAACoZBVWICRp3759GjtmjFJSU9W4YQP19POVb4umuuXm2jpzvkA78g4oybZDh4+fUI/u3fXOsmVMHgAAAAAXUqEF4v8YhqH4+HhlZmRo1+7dKi4ulo+Pj9q0bq2AwECNHDmS05YAAAAAF1QpBeI/2e12njANAAAAuIEqKRAAAAAA3ANjAQAAAABlRoEAAAAAUGYUCAAAAABlRoEAAAAAUGYUCAAAAABlRoEAAAAAUGYUCAAAAABl9v8ATGAlkDI6qGAAAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 5 graphics primitives" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.delete_edge(1,2)\n", "g.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Die Bezeichnungen der Knoten können beliebige Objekte sein, allerdings müssen sie aus technischen Gründen unveränderbar (immutable) sein:
" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "scrolled": true }, "outputs": [ { "ename": "TypeError", "evalue": "mutable matrices are unhashable", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32mDie Bilder können auch in verschiedenen Formaten exportiert werden.
\n", "\n", "Eine ganze Reihe vordefinierter Graphen ist in der Bibliothek graphs zugänglich.
" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 26 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p = graphs.PetersenGraph()\n", "g=p.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Es stehen viele Algorithmen zur Verfügung.\n", "
" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p.is_planar()" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0, 2, 6]" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p.neighbors(1)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p.distance(1,4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Eine Färbung eines Graphen ist eine Abbildung,\n", "die jedem Knoten eine Farbe zuordnet, und zwar so,\n", "daß benachbarte Knoten verschiedene Farben haben.\n", "Die chromatische Zahl ist die kleinstmögliche Anzahl von\n", "Farben, mit denen eine Färbung möglich ist.\n", "
" ] }, { "cell_type": "code", "execution_count": 172, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3" ] }, "execution_count": 172, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p.chromatic_number()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Eine solche minimale Färbung kann explizit gefunden werden.\n", "
" ] }, { "cell_type": "code", "execution_count": 174, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[[1, 3, 5, 9], [0, 2, 6], [4, 7, 8]]" ] }, "execution_count": 174, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p.coloring()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Um die Färbung zu zeichnen, kann man auch direkt\n", "Farbwerte erzeugen.\n", "
" ] }, { "cell_type": "code", "execution_count": 176, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'#0000ff': [4, 7, 8], '#00ff00': [1, 3, 5, 9], '#ff0000': [0, 2, 6]}" ] }, "execution_count": 176, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c=p.coloring(hex_colors=True)\n", "c" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Diese können der Methode .show() als\n", "Option übergeben werden.\n", "
" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p.show(vertex_colors=c)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Wir können die symmetrische Gruppe auf den Knoten\n", "des Graphen agieren lassen, d.h.,\n", "die Knoten anhand von Permutationen umzubenennen.\n", "
" ] }, { "cell_type": "code", "execution_count": 179, "metadata": {}, "outputs": [ { "data": { "text/plain": [] }, "execution_count": 179, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S10 = SymmetricGroup(10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wir vertauschen die inneren mit den äußeren Knoten. Dabei ist zu beachten, daß die Knoten anhand ihrer Position in der Knotenliste identifiziert werden.
" ] }, { "cell_type": "code", "execution_count": 181, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1,6)(2,7)(3,8)(4,9)(5,10)" ] }, "execution_count": 181, "metadata": {}, "output_type": "execute_result" } ], "source": [ "u=S10([6,7,8,9,10,1,2,3,4,5])\n", "u" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "da der Graph direkt verändert wird, legen wir zuerst Kopien an.\n", "
" ] }, { "cell_type": "code", "execution_count": 183, "metadata": {}, "outputs": [ { "data": { "text/plain": [] }, "execution_count": 183, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p1=p.copy()\n", "p2=p.copy()" ] }, { "cell_type": "code", "execution_count": 184, "metadata": {}, "outputs": [ { "data": { "text/plain": [] }, "execution_count": 184, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p2.relabel(u)" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/plain": [] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p1.show()\n", "p2.show()" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p1.is_isomorphic(p2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ein Beispiel eines platonischen Körpers.
" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "text/plain": [] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g20 = graphs.IcosahedralGraph()\n", "g20.show()" ] }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [ { "data": { "text/plain": [] }, "execution_count": 104, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g20.hamiltonian_cycle().show()" ] }, { "cell_type": "code", "execution_count": 106, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 106, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g20.eulerian_circuit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ein eulerscher Graph muss gerade Knotengrade haben, z.B. der K5
" ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [ { "data": { "text/plain": [] }, "execution_count": 107, "metadata": {}, "output_type": "execute_result" } ], "source": [ "k5 = graphs.CompleteGraph(5)\n", "k5.show()" ] }, { "cell_type": "code", "execution_count": 109, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(0, 4, None),\n", " (4, 3, None),\n", " (3, 2, None),\n", " (2, 4, None),\n", " (4, 1, None),\n", " (1, 3, None),\n", " (3, 0, None),\n", " (0, 2, None),\n", " (2, 1, None),\n", " (1, 0, None)]" ] }, "execution_count": 109, "metadata": {}, "output_type": "execute_result" } ], "source": [ "k5.eulerian_circuit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Um die Reihenfolge sichtbar zu machen, numerieren wir die Kanten anhand dieser Liste durch.
" ] }, { "cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [ { "data": { "text/plain": [] }, "execution_count": 111, "metadata": {}, "output_type": "execute_result" } ], "source": [ "for e,i in zip(k5.eulerian_circuit(), (1..)):\n", " k5.set_edge_label(e[0],e[1],i)" ] }, { "cell_type": "code", "execution_count": 116, "metadata": {}, "outputs": [ { "data": { "text/plain": [] }, "execution_count": 116, "metadata": {}, "output_type": "execute_result" } ], "source": [ "k5.show(edge_labels=True)" ] }, { "cell_type": "code", "execution_count": 306, "metadata": {}, "outputs": [ { "data": { "text/plain": [] }, "execution_count": 306, "metadata": {}, "output_type": "execute_result" } ], "source": [] } ], "metadata": { "kernelspec": { "display_name": "SageMath 8.3", "language": "", "name": "sagemath" }, "language": "python", "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.15" } }, "nbformat": 4, "nbformat_minor": 2 }