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Title of Journal: J Math Chem

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Abbravation: Journal of Mathematical Chemistry

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Springer Netherlands

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DOI

10.1007/s10967-012-2140-0

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ISSN

1572-8897

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The PI index of phenylenes

Authors: Hanyuan Deng Shubo Chen Jie Zhang
Publish Date: 2006/11/02
Volume: 41, Issue: 1, Pages: 63-69
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Abstract

The Padmakar–Ivan PI index is a graph invariant defined as the summation of the sums of n eu eG and n ev eG over all the edges e = uv of a connected graph G ie PIG = ∑ e∈EGn eu eG + n ev eG where n eu eG is the number of edges of G lying closer to u than to v and n ev eG is the number of edges of G lying closer to v than to u An efficient formula for calculating the PI index of phenylenes is given and a simple relation is established between the PI index of a phenylene and of the corresponding hexagonal squeeze

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