The Hosoya index and the Merrifield-Simmons index of some graphs

The Hosoya index and the Merrifield-Simmons index are two types of graph invariants used in mathematical chemistry. In this paper, we give some formulas for computed these indices for some classes of corona product and link of two graphs. Furthermore, we obtain exact formulas of hosoya and Merrifiel...

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Bibliographic Details
Published inTransactions on combinatorics Vol. 1; no. 4; pp. 51 - 60
Main Authors Samaneh Hossein-Zadeh, Mohammad Ali Hosseinzadeh, Ali Iranmanesh, Asma Hamzeh
Format Journal Article
LanguageEnglish
Published University of Isfahan 01.12.2012
Subjects
Corona product
Hosoya index
Link of two graphs
Merrifield-Simmons index
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Summary:The Hosoya index and the Merrifield-Simmons index are two types of graph invariants used in mathematical chemistry. In this paper, we give some formulas for computed these indices for some classes of corona product and link of two graphs. Furthermore, we obtain exact formulas of hosoya and Merrifield-Simmons indices for the set of bicyclic graphs, caterpillars and dual star.
ISSN:2251-8657
2251-8665