On the bounds of zeroth-order general Randic index-Reference-Cited by-同舟云学术

On the bounds of zeroth-order general Randic index

Published:2022 Issue:19 Volume:36 Page:6443-6456
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Matejic Marjan¹,Altındağ Şerife²,Milovanovic Emina¹,Milovanovic Igor¹^ORCID

Affiliation:

1. Faculty of Electronic Engineering, University of Niš, Niš, Serbia

2. Yenikent Kardelen Konutları, Selçuklu, Konya, Türkiye

Abstract

The zeroth-order general Randic index, 0R?(G), of a connected graph G, is defined as 0 P R?(G) = ni =1 d?i , where di is the degree of the vertex vi of G and ? arbitrary real number. We consider linear combinations of the 0R?(G) of the form 0R?(G) ? (? + ?)0R??1(G) + ?? 0R??2(G) and 0R?(G) ? 2a 0R??1(G) + a2 0R??2(G), where a is an arbitrary real number, and determine their bounds. As corollaries, various upper and lower bounds of 0R?(G) and indices that represent some special cases of 0R?(G) are obtained.

Funder

Ministry of Education, Science and Technological Development of the Republic of Serbia

Publisher

National Library of Serbia

Subject

General Mathematics

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