On First Hermitian-Zagreb Matrix and Hermitian-Zagreb Energy

A. Bharali¹

1. Department of Mathematics, Dibrugarh University, Assam, India.

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.3 , pp.136-139, Jun-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i3.136139

Online published on Jun 30, 2018

Copyright © 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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Abstract :
A mixed graph is a graph with edges and arcs, which can be considered as a combination of an undirected graph and a directed graph. In this paper we propose a Hermitian matrix for mixed graphs which is a modified version of the classical adjacency matrix related to the first Zagreb index. We also establish some results related to this newly proposed matrix. Finally we present some results on the Hermitian-Zagreb energy.

Key-Words / Index Term :
First Zagreb Index, Hermitian Adjacency Matrix, Energy

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