On first and second stress polynomials of graphs

Prajna S Rai; P. Siva Kota Reddy; M. Kirankumar; M. Pavithra; Howida Adel  AlFran

doi:10.5269/bspm.76132

Prajna S Rai JSS Science and Technology University
P. Siva Kota Reddy JSS Science and Technology University, Mysuru
M. Kirankumar Vidyavardhaka College of Engineering, Mysuru
M. Pavithra Karnataka State Open University, Mysuru
Howida Adel AlFran

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.

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Author Biographies

P. Siva Kota Reddy, JSS Science and Technology University, Mysuru

Professor and Head, Department of Mathematics

M. Kirankumar, Vidyavardhaka College of Engineering, Mysuru

Assistant Professor, Department of Mathematics

M. Pavithra, Karnataka State Open University, Mysuru

Associate Professor, Department of Studies in Mathematics

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