Abstract | ||
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An operation on trivalent graphs leads from the truncated cube to buckminsterfullerene, and C-60 is the only fullerene with disjoint pentagons which can be obtained by this method. The construction and the proof emphasize maximal independent sets that contains two fifths of the vertices of trivalent graphs. In the case of C60, these sets define the structure of the experimentally obtained bromofullerene C60Br24 and presumably also the fullerol C-60(OH)(24). These special independent sets seem to be related to the Golay code, and the fullerol is studied in oncology. |
Year | Venue | Keywords |
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2001 | DIMACS SERIES IN DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCES | cubic graphs,independence number,fullerenes,Golay code |
Field | DocType | Volume |
Chemical physics,Fullerene,Materials science | Conference | 69 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Siemion Fajtlowicz | 1 | 93 | 26.12 |