Vertex Stress Polynomial of a Graph

Autores

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

DOI:

https://doi.org/10.5269/bspm.68311

Resumo

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.

Biografia do Autor

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

    Assistant Professor,

    Mathematics

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Publicado

2025-01-21

Edição

v. 43 (2025)

Seção

Artigos

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

Como Citar

Rai, P. S., Rajendra, R., & P. Siva Kota Reddy. (2025). Vertex Stress Polynomial of a Graph . Boletim Da Sociedade Paranaense De Matemática, 43, 1-6. https://doi.org/10.5269/bspm.68311
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