On Tosha-degree of an Edge in a Graph
DOI:
https://doi.org/10.29020/nybg.ejpam.v13i5.3710Keywords:
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.Downloads
Published
2020-12-27
Issue
Section
Special Issue Dedicated to Professor Hari M. Srivastava on the Occasion of his 80th Birthday
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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