Topological efficiency under graph operations

AuthorsS. Hossein−Zadeh, A. Iranmanesh, M. A. Hosseinzadeh, A. Hamzeh, M. Tavakoli and A. R. Ashrafi
JournalJournal Applied Mathematics and Computing
Page number69–80
Serial number1
Volume number54
Paper TypeFull Paper
Published At2017
Journal GradeISI (WOS)
Journal TypeTypographic
Journal CountryKorea

Abstract

In this paper we present explicit formulas for computing the topological efficiency index of the most important graph operations such as the Cartesian product, composition, corona, join and hierarchical product of two graphs. We apply our results to compute this distance-related invariant for some important classes of molecular graphs and nano-structures by specializing components of these graph operations.

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