Computing formulae of the Merrifield-Simmons index of polyphenyl chains

Xu Ran Zhou; Li Gong Wang

Computing formulae of the Merrifield-Simmons index of polyphenyl chains

Xu Ran Zhou, Li Gong Wang

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

Abstract

The Merrifield-Simmons index is one of the popular and valuable topological indices in chemistry molecular graph theory. In order to calculate the Merrifield-Simmons index of polyphenyl chains fast and convenient, the formulae of the Merrifield-Simmons indices of three special polyphenyl chains Z _n,S_n and L_n were obtained by using recurrence method. After some matrix operation,the more general formuale on the Merrifield-Simmons index of the three polyphenyl chains are given.

Original language	English
Pages (from-to)	238-242
Number of pages	5
Journal	Fangzhi Gaoxiao Jichukexue Xuebao
Volume	24
Issue number	2
State	Published - Jun 2011

Keywords

Merrifield-Simmons index
Polyphenyl chains
Recurrence formula

Cite this

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abstract = "The Merrifield-Simmons index is one of the popular and valuable topological indices in chemistry molecular graph theory. In order to calculate the Merrifield-Simmons index of polyphenyl chains fast and convenient, the formulae of the Merrifield-Simmons indices of three special polyphenyl chains Z n,Sn and Ln were obtained by using recurrence method. After some matrix operation,the more general formuale on the Merrifield-Simmons index of the three polyphenyl chains are given.",

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AB - The Merrifield-Simmons index is one of the popular and valuable topological indices in chemistry molecular graph theory. In order to calculate the Merrifield-Simmons index of polyphenyl chains fast and convenient, the formulae of the Merrifield-Simmons indices of three special polyphenyl chains Z n,Sn and Ln were obtained by using recurrence method. After some matrix operation,the more general formuale on the Merrifield-Simmons index of the three polyphenyl chains are given.

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KW - Recurrence formula

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Computing formulae of the Merrifield-Simmons index of polyphenyl chains

Abstract

Keywords

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