International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 11 Issue 12, December 2022


Bounds for Minimum Degree Laplacian Eigenvalues of Graphs

Shivakumar Swamy C.S [2]


Abstract: The Minimum degree energy Em(G) of a graph G is defined as the sum of the absolute values of the eigenvalues of the minimum degree matrix m(G). The minimum degree Laplacian matrix of G is defined L(G) = D(G) - m(G), where D(G) is a diagonal matrix of vertex degrees.In this paper we establish some inequalities for minimum degree Laplacian eigenvalues of a graph G.


Keywords: Minimum degree matrix,minimum degree Laplacian matrix, minimum degree Laplacian eigenvalues of graph


Edition: Volume 11 Issue 12, December 2022,


Pages: 1270 - 1274


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