The minimum harmonic index for bicyclic graphs with given diameter-Reference-Cited by-同舟云学术

The minimum harmonic index for bicyclic graphs with given diameter

Published:2022 Issue:1 Volume:36 Page:125-140
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Abdolghafourian Adeleh¹,Iranmanesh Mohammad¹

Affiliation:

1. Department of Mathematical Science, Yazd University, Yazd, I.R. Iran

Abstract

The harmonic index of a graph G, is defined as the sum of weights 2/d(u)+d(v) of all edges uv of G, where d(u) is the degree of the vertex u in G. In this paper we find the minimum harmonic index of bicyclic graph of order n and diameter d. We also characterized all bicyclic graphs reaching the minimum bound.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference16 articles.

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4. M. Arshad, I. Tomescu, Maximum general sum-connectivity index with -1 ≤ α < 0 for bicyclic graphs, Math. Rep. 19 (2017) 93-96.

5. Z. Du, B. Zhou, On sum-connectivity index of bicyclic graphs, Bull. Malays. Math. Sci. Soc. 35 (2012) 101-117.

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