Laplacian Energies of Vertices

Publication date: 4 January 2022

Abstract: In this work, we define the Laplacian and Normalized Laplacian energies of vertices in a graph, we derive some of its properties and relate them to combinatorial, spectral and geometric quantities of the graph.

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

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