Hosoya Index of L-Type Polyphenyl Spiders

The polyphenyl system is composed of n hexagons obtained from two adjacent hexagons that are sticked by a path with two vertices. The Hosoya index of a graph G is defined as the total number of the independent edge sets of G. In this paper, we give a computing formula of Hosoya index of a type of po...

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Main Authors: Ren Shengzhang, Wu Tingzeng
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Chemistry
Online Access:http://dx.doi.org/10.1155/2016/2053293
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author Ren Shengzhang
Wu Tingzeng
author_facet Ren Shengzhang
Wu Tingzeng
author_sort Ren Shengzhang
collection DOAJ
description The polyphenyl system is composed of n hexagons obtained from two adjacent hexagons that are sticked by a path with two vertices. The Hosoya index of a graph G is defined as the total number of the independent edge sets of G. In this paper, we give a computing formula of Hosoya index of a type of polyphenyl system. Furthermore, we characterize the extremal Hosoya index of the type of polyphenyl system.
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publishDate 2016-01-01
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series Journal of Chemistry
spelling doaj-art-eb14bf697e1b4c3db6dfa4b84c911dea2025-08-20T03:21:16ZengWileyJournal of Chemistry2090-90632090-90712016-01-01201610.1155/2016/20532932053293Hosoya Index of L-Type Polyphenyl SpidersRen Shengzhang0Wu Tingzeng1School of Mathematics and Computer Science, Shaanxi Sci-Tech University, Hanzhong, Shaanxi 723000, ChinaSchool of Mathematics and Statistics, Qinghai Nationalities University, Xining, Qinghai 810007, ChinaThe polyphenyl system is composed of n hexagons obtained from two adjacent hexagons that are sticked by a path with two vertices. The Hosoya index of a graph G is defined as the total number of the independent edge sets of G. In this paper, we give a computing formula of Hosoya index of a type of polyphenyl system. Furthermore, we characterize the extremal Hosoya index of the type of polyphenyl system.http://dx.doi.org/10.1155/2016/2053293
spellingShingle Ren Shengzhang
Wu Tingzeng
Hosoya Index of L-Type Polyphenyl Spiders
Journal of Chemistry
title Hosoya Index of L-Type Polyphenyl Spiders
title_full Hosoya Index of L-Type Polyphenyl Spiders
title_fullStr Hosoya Index of L-Type Polyphenyl Spiders
title_full_unstemmed Hosoya Index of L-Type Polyphenyl Spiders
title_short Hosoya Index of L-Type Polyphenyl Spiders
title_sort hosoya index of l type polyphenyl spiders
url http://dx.doi.org/10.1155/2016/2053293
work_keys_str_mv AT renshengzhang hosoyaindexofltypepolyphenylspiders
AT wutingzeng hosoyaindexofltypepolyphenylspiders