On Zagreb and Harary indices

Kinkar Ch Das, Kexiang Xu, Ivan Gutman

Research output: Contribution to journalArticlepeer-review

78 Scopus citations

Abstract

The first (M1) and second (M2) Zagreb indices and the Harary index (H) are graph invariants that found applications in chemistry. We present several new estimates for M1 and M2 and characterize the extremal trees. Lower and upper bounds on Harary index are obtained in terms of independence and matching numbers, as well as M1 and M2, and the extremal trees are characterized.

Original languageEnglish
Pages (from-to)301-314
Number of pages14
JournalMatch
Volume70
Issue number1
StatePublished - 2013

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