PI indices of pericondensed benzenoid graphs |
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| Authors: | Hanyuan Deng Shubo Chen |
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| Institution: | (1) College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan, 410081, P. R. China |
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| Abstract: | The Padmakar–Ivan (PI) index is a graph invariant defined as the summation of the sums of n
eu
(e|G) and n
ev
(e|G) over all the edges e = uv of a connected graph G, i.e.,
![$$PI(G)=\sum_{e\in E(G)}n_{eu}(e|G)+n_{ev}(e|G)]$$](/content/p8v4621038vr0t67/10910_2006_9175_Article_IEq1.gif) , where n
eu
(e|G) is the number of edges of G lying closer to u than to v and n
ev
(e|G) is the number of edges of G lying closer to v than to u. An efficient formula for calculating the PI index of a class of pericondensed benzenoid graphs consisting of three rows
of hexagonal of various lengths. |
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| Keywords: | topological index PI index pericondensed benzenoid graph |
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