Two Classes of Topological Indices of Phenylene Molecule Graphs

Tingzeng Wu

Mathematical Problems in Engineering, 2016, vol. 2016, 1-5

Abstract:

A phenylene is a conjugated hydrocarbons molecule composed of six- and four-membered rings. The matching energy of a graph is equal to the sum of the absolute values of the zeros of the matching polynomial of , while the Hosoya index is defined as the total number of the independent edge sets of . In this paper, we determine the extremal graph with respect to the matching energy and Hosoya index for all phenylene chains.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8421396

DOI: 10.1155/2016/8421396

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