Work

On first and second stress polynomials of graphs

Year: 2025

Type: article

Abstract: Shimbel (1953) introduced the node centrality index, which is the stress of a vertex. The number of geodesics (shortest paths) that pass through a vertex in a graph is its stress. A number that links a chemical structure to physical characteristics or chemical reactivity is called a topological index of the chemical structure (graph). This paper presents the first and second stress polynomials, which are new stress polynomials for graphs based on vertices stresses. Additionally, we compute stress polynomials for a few standard graphs, prove a few results, and establish a few inequalities.

Source: Boletim da Sociedade Paranaense de Matemática

DOI: 10.5269/bspm.76132

Authors: Prajna S. Rai, Howida Adel Alfran, P. Siva Kota Reddy, M. Kirankumar, M. Pavithra

Institutions: JSS Science and Technology University, Umm al-Qura University, Visvesvaraya Technological University, Karnataka State Open University

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413809983

FWCI: 9.322

Cites: 14

Cited by: 5

Related to: 10