


The Cycle
Index of the Symmetry Group of the Fullerene
C_{60} 
The Cycle Index of the Symmetry Group of the Fullerene
C_{60}
MATCH 33, 121138,
1996.
Abstract: Various forms, including multidimensional
forms of the cycle index of the symmetry group of the fullerene
C_{60} acting on its sets of vertices, faces, edges etc.
are computed and applied for the enumeration of essentially
different colourings of the truncated icosahedron. The
implementation of these cycle index methods in the computer algebra
system SYMMETRICA is discussed, and finally cycle indices of the
symmetry groups of some further fullerenes are derived.
harald.fripertinger "at" unigraz.at, October 3,
2024






GDPR 
The Cycle
Index of the Symmetry Group of the Fullerene
C_{60} 

