Bounds of Sombor Index for F-Sum Operation

Title

Bounds of Sombor Index for F-Sum Operation

Creator

Sarkar I.; Manjunath N.; Chaluvaraju B.; Lokesha V.

Description

Graph operations have a major impact in the aspects of theory and empirical literature of the domain. For relating the molecular topology to any real chemical attribute, the conversion of the relevant details embedded into chemical structure to some numeric value becomes so vital which ultimately paves the way for the emergence of topological indices. Topological descriptor acts as an effective graph invariant in chemical graph theory associated with certain molecular structure. Recently, the study on the sombor index is initiated by I.Gutman [16]. In the article, we utilise combinatorial inequalities, including the general sum-connectivity index, the first general zagreb index and few other indices in their formulations, for the determination of bounds for sombor index for the F-sum operation of connected graphs. Palestine Polytechnic University-PPU 2023.

Source

Palestine Journal of Mathematics, Vol-12, No. 2, pp. 504-516.

Date

2023-01-01

Publisher

Palestine Polytechnic University

Subject

Graph Operations; Sombor Index; Subdivision

Coverage

Sarkar I., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Manjunath N., School of Engineering and Technology, CHRIST (Deemed to be University), Bengaluru, 560074, India; Chaluvaraju B., Department of Mathematics, Bangalore University, Jnana Bharathi Campus, Bengaluru, 560056, India; Lokesha V., Department of Studies in Mathematics, Vijayanagara Sri Krishnadevaraya University, Karnataka, Ballari, 583105, India

Rights

Restricted Access

Relation

ISSN: 22195688

Format

Online

Language

English

Type

Article

Identifier

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85166752818&partnerID=40&md5=6118fcbbd6ae5ac119a618efa793305a