On Tosha-degree of an Edge in a Graph

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i5.3710

Keywords:

Adjacency matrix, degree of a vertex, energy, line graph, Tosha-degree of an edge.

Abstract

In an earlier paper,  we have introduced the Tosha-degree of an edge in a graph without multiple edges and studied some properties. In this paper, we extend the definition of  Tosha-degree of an edge in a graph in which multiple edges are allowed. Also, we introduce the concepts - zero edges in a graph, $T$-line graph of a multigraph, Tosha-adjacency matrix, Tosha-energy, edge-adjacency matrix and edge energy of a graph $G$ and obtain some results.

Author Biographies

  • R. Rajendra, Mangalore University
    Assistant Professor, Dept. of Mathematics
  • P. Siva Kota Reddy, JSS Science and Technology University
    Professor (Full), Department of Mathematics

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Published

2020-12-27

Issue

Section

Special Issue Dedicated to Professor Hari M. Srivastava on the Occasion of his 80th Birthday

How to Cite

On Tosha-degree of an Edge in a Graph. (2020). European Journal of Pure and Applied Mathematics, 13(5), 1097-1109. https://doi.org/10.29020/nybg.ejpam.v13i5.3710

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