On the Vector Degree Matrix of a Connected Graph

Nasr A. Zeyada, Anwar Saleh, Majed Albaity, Amr K. Amin and Kinkar Chandra Das

Journal of Mathematics, 2022, vol. 2022, 1-9

Abstract: A matrix representation of the graph is one of the tools to study the algebraic structure and properties of a graph. In this paper, by defining the vector degree matrix of graph G, we provide a new matrix representation of the graph. For some standard graphs, VD-eigenvalues, VD-spectrum, and VD-energy values are defined and calculated. Moreover, we calculate the VD-matrix and calculate the VD-eigenvalues for graphs representing the chemical composition of paracetamol and tramadol.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8307871

DOI: 10.1155/2022/8307871

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