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Research Paper | Mathematics | India | Volume 11 Issue 12, December 2022
Bounds for Minimum Degree Laplacian Eigenvalues of Graphs
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