On reformulated Narumi-Katayama index

• Cancan, Murat ; De, Nilanjan ^[2] ; Alaeiyan, Mehdi ^[1] ; Reza Farahani, Mohammad ^[1]
  1. [1] Iran University of Science and Technology

     Iran University of Science and Technology

     Irán

     
  2. [2] Calcutta Institute of Engineering and Management.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 5, 2020, págs. 1333-1346
• Idioma: inglés
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• Resumen

  • A graph is a mathematical model form by set of dots for vertices some of which are connected by lines named as edges. A topological index is a numeric value obtained from a graph mathematically which characterize its topology. The reformulated Narumi-Katayama index of a graph G is defined as the product of edge degrees of all the vertices of G which is introduced in 1984, to used the carbon skeleton of a saturated hydrocarbons. The degree of an edge is given by the sum of degrees of the end vertices of the edge minus 2. In this paper, we compute the reformulated Narumi-Katayama index for different graph operations.