Work

On the Maximum ABS Index of Fixed-Order Trees with a Given Maximum Degree

Year: 2024

Type: article

Abstract: The ABS (atom-bond sum-connectivity) index of a graph G is denoted by ABS(G) and is defined as ∑xy∈E(G)(dx+dy)−1(dx+dy−2), where dx represents the degree of the vertex x in G. In this paper, we derive the best possible upper bounds on the ABS index for fixed-order trees possessing a given maximum degree, which provides a solution to the open problem proposed quite recently by Hussain, Liu and Hua.

Source: Mathematics

DOI: 10.3390/math12172704

Authors: Venkatesan Maitreyi, Suresh Elumalai, Akbar Ali, Selvaraj Balachandran, Hicham Saber, Adel A. Attiya

Institutions: SRM Institute of Science and Technology, University of Ha'il, SASTRA University, Mansoura University

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

OpenAlex ID: W4402051213

FWCI:

Cites: 32

Cited by:

Related to: 10