Misbalance degree matrix and related energy of graphs

Amitav Doley, Budheswar Deka, A. Bharali

Abstract


Given a graph G = (V,E), the Misbalance deg (MD) index of G is defined as MD(G) = ∑|du−dv|, where E is the set of edges of G, and du be the degree of the vertex u ∈ V, set of vertices of G. A modification of the classical adjacency matrix of a graph is propose based on MD index and its spectra is studied in connection with subdivision, semitotal point graph, semitotal line graph, and total graphs of a regular graph. Analogously two new concepts namely MD energy and MD estrada index are also coined

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Published: 2020-01-31

How to Cite this Article:

Amitav Doley, Budheswar Deka, A. Bharali, Misbalance degree matrix and related energy of graphs, J. Math. Comput. Sci., 10 (2020), 436-447

Copyright © 2020 Amitav Doley, Budheswar Deka, A. Bharali. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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