All different colourings of fullerenes with k colours Some numerical examples using SYMMETRICA Cycle indices of the symmetry groups of fullerenes Number of different colourings of fullerenes

Number of different colourings of fullerenes

Now we can compute the number of different colourings of some fullerenes.
Please determine which group is acting? Where does this group act on? Which fullerene Cv to investigate. (Please enter only even v such that 24≤ v≤ 60, or v=20,70,80.) For v=40 or v=44 you further have to specify whether to use the D or T symmetry.

Furthermore please determine which representation - the standard or the alternating representation - of the group you are interested in. The alternating representation can be used to compute the number of chiral colourings of fullerenes.

Finally you have to input the number k of different colours. For computing these numbers we used the SYMMETRICA routine polya_const_sub.

v=

k=

For starting computation, press the button .
harald.fripertinger "at" uni-graz.at, May 10, 2016

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