Misbalance degree matrix and related energy of graphs
Year: 2020
Type: article
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
DOI: 10.28919/jmcs/4437
Authors: Amitav Doley, Budheswar Deka, A. Bharali
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4250076004