References Top A multi-dimensional cycle index Some further fullerenes

Some further fullerenes

In general molecules in the form of 3-connected polyhedral cages with exactly 12 pentagonal and all the other hexagonal faces solely built from carbon atoms are called fullerenes. Fullerenes Cv can be constructed for v=20 and for all even v≥ 24. They have v vertices (i.e. C-atoms), 3v/2 edges and (v-20)/2 hexagonal faces. The most important member of the family of the fullerenes is C60. In [10] the 3-dimensional cycle indices of many of these fullerenes are computed.
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References Top A multi-dimensional cycle index Uni-Graz Mathematik UNIGRAZ online Some further fullerenes Valid HTML 4.0 Transitional Valid CSS!