Orderings of a class of trees with respect to the Merrifield–Simmons index and the Hosoya index

Wenwen Tian, Fei Zhao (), Zheng Sun, Xuesong Mei and Guangde Chen
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Wenwen Tian: Xi’an Jiaotong University
Fei Zhao: Xi’an Jiaotong University
Zheng Sun: Xi’an Jiaotong University
Xuesong Mei: Xi’an Jiaotong University
Guangde Chen: Xi’an Jiaotong University

Journal of Combinatorial Optimization, 2019, vol. 38, issue 4, No 16, 1286-1295

Abstract: Abstract The Merrifield–Simmons index and the Hosoya index are two prominent molecular graph descriptors in mathematical chemistry. The Merrifield–Simmons index of a graph is defined as the total number of the independent sets of the graph and the Hosoya index of a graph is defined as the total number of the matchings of the graph. In this paper, the Merrifield–Simmons index and the Hosoya index of a class of trees $$ \Gamma $$ Γ are investigated, and their orderings and extremal trees with respect to these two topological indices are obtained, respectively.

Keywords: Graph; Tree; Merrifield–Simmons index; Hosoya index; Ordering (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10878-019-00447-5

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