Vertex Stress Polynomial of a Graph

  • Prajna S Rai JSS Science and Technology University
  • Rajendra R Department of mathematics, Mangalore unviersity, Mangalagangothti-574199
  • P. Siva Kota Reddy JSS Science and Technology University

Résumé

The notion of stress of a vertex in a graph was introduced by Alfonso Shimbel in 1953. The stress of a vertex in a graph is the number of shortest paths passing through that vertex. In this paper, we introduce the concept of vertex stress polynomial of a graph and obtain some results including a characterization of graphs with vertex stress polynomial a non-zero constant.

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Biographie de l'auteur

Rajendra R, Department of mathematics, Mangalore unviersity, Mangalagangothti-574199

Assistant Professor,

Mathematics

Publiée
2025-01-21
Rubrique
Research Articles