Authors: Y. Gao, H. Zhang Title: Sharp upper bounds on the Clar number of fullerene graphs Source: Discussiones Mathematicae Graph Theory Received 12.02.2016, Revised 26.10.2016, Accepted 26.10.2016, doi: 10.7151/dmgt.2013 | |
Abstract: The Clar number of a fullerene graph with n vertices is bounded above by ⌊ n/6⌋-2 and this bound has been improved to ⌊ n/6⌋-3 when n is congruent to 2 modulo 6. We can construct at least one fullerene graph attaining the upper bounds for every even number of vertices n≥20 except n=22 and n=30. | |
Keywords: fullerene, Clar number, Clar set, leapfrog transformation | |
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