On the Spectrum of Laplacian Matrix

Let G be a simple graph of order n. The matrix ℒG=DG−AG is called the Laplacian matrix of G, where DG and AG denote the diagonal matrix of vertex degrees and the adjacency matrix of G, respectively. Let l1G, ln−1G be the largest eigenvalue, the second smallest eigenvalue of ℒG respectively, and λ1G...

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Bibliographic Details
Main Authors: Akbar Jahanbani, Seyed Mahmoud Sheikholeslami, Rana Khoeilar
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/8096874