Maximum values of atom–bond connectivity index in the class of tricyclic graphs

AuthorsA. R. Ashrafi, T. Dehghan-Zadeh, N. Habibi and P. E. John
JournalJournal of Applied Mathematics and Computing
Page number511-527
Serial number1
Volume number50
Paper TypeFull Paper
Published At2016
Journal GradeISI
Journal TypeTypographic
Journal CountryKorea

Abstract

The atom–bond connectivity index of a graph G is defined as where d(u) is degree of the vertex u. In this paper, the first, second and third maximum values of the atom–bond connectivity index in the class of all n-vertex tricyclic graphs are presented.

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