A benzenoid is a fusene that is a subgraph of the regular hexagonal lattice (i.e., a simply connected polyhex).

The numbers of n-hexagon benzenoids for n=1, 2, ... are 1, 1, 3, 7, 22, 81, 331, 1435, 6505, ... (OEIS A018190; Brinkmann et al. 2002), which first differs from the counts for fusenes at n=6.

See also

Fullerene, Fusene, Polyhex

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Brinkmann, G.; Caporossi, G.; and Hansen, P. "A Constructive Enumeration of Fusenes and Benzenoids." J. Algorithms. 45, 155-166, 2002.Brinkmann, G.; Caporossi, G.; and Hansen, P. "A Survey and New Results on Computer Enumeration of Polyhex and Fusene Hydrocarbons." J. Chem. Inf. Comput. Sci. 43, 842-851, 2003.Sloane, N. J. A. Sequence A018190 in "The On-Line Encyclopedia of Integer Sequences."

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Cite this as:

Weisstein, Eric W. "Benzenoid." From MathWorld--A Wolfram Web Resource.

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