Advances and Applications in Discrete Mathematics
Volume 11, Issue 2, Pages 121 - 133
(April 2013)
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GENUS POLYNOMIAL FOR SIMILAR BENZENE STRUCTURE GRAPHS
Jianchu Zeng, Yanpei Liu, Rongxia Hao and Shengxiang Lv
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Abstract: The genus polynomial for a graph Gshows the genus distribution of G. On the basis of the joint tree model, this paper provides the recurrence formula of topologically nonequivalent orientable embeddings of the similar benzene structure graphs by genus via classifying the associate polyhegons |
Keywords and phrases: similar benzene structure graph, associate polyhegon, joint tree, genus polynomial, genus distribution. |
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