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Two Classes of Topological Indices of Phenylene Molecule Graphs

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  • Tingzeng Wu

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.

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  • Tingzeng Wu, 2016. "Two Classes of Topological Indices of Phenylene Molecule Graphs," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-5, April.
    • Handle: RePEc:hin:jnlmpe:8421396
    DOI: 10.1155/2016/8421396
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