Square root stress-sum index for graphs

• Mahesh, K. B. ^[2] ; Rajendra, R. ^[1] ; Reddy, P. Siva Kota
  1. [1] Mangalore University

     Mangalore University

     India

     
  2. [2] Dr. P. Dayananda Pai- P. Sathisha Pai, Government First Grade College, Mangalore, Carstreet.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 4, 2021, págs. 927-936
• Idioma: inglés
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• Resumen

  • The stress of a vertex is a node centrality index, which has been introduced by Shimbel (1953). The stress of a vertex in a graph is the number of geodesics (shortest paths) passing through it. In this  paper, we introduce a new topological index for graphs called square root stress sum index using stresses of vertices. Further, we establish some inequalities, prove some results and compute stress-sum index for some standard graphs.