Degree subtraction eigenvalues and energy of graphs

The degree subtraction matrix $DS(G)$ of a graph $G$ is introduced, whose $(j,k)$-th entry is $d_G(v_j) - d_G(v_k)$, where $d_G(v_j)$ is the degree of a vertex $v_j$ in $G$. If $G$ is a non-regular graph, then $DS(G)$ has exactly two nonzero eigenvalues which are purely imaginary. Eigenvalues of th...

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Bibliographic Details

Published in:	Computer Science Journal of Moldova
Main Authors:	H. S. Ramane, K. C. Nandeesh, G. A. Gudodagi, B. Zhou
Format:	Article
Language:	English
Published:	Vladimir Andrunachievici Institute of Mathematics and Computer Science 2018-08-01
Subjects:	Degree of a vertex degree subtraction matrix eigenvalues energy first Zagreb index
Online Access:	http://www.math.md/files/csjm/v26-n2/v26-n2-(pp146-162).pdf