A note on the second largest eigenvalue of the laplacian matrix of a graphFootnote^∗
^∗Supported by National Natural Science Foundation of China (Grant No. 19971086) and Doctoral Program Foundation of Higher Education of China

Jiong-Sheng Li Department of Mathematics, University of Science and Technology of China, Hefei, Auhui, China

Yong-Liang Pan Department of Mathematics, University of Science and Technology of China, Hefei, Auhui, China

Abstract

In this note, a lower bound for the second largest eigenvalue of the Laplacian matrix of a graph is given in terms of the second largest degree of the graph.

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^∗Supported by National Natural Science Foundation of China (Grant No. 19971086) and Doctoral Program Foundation of Higher Education of China

^†Corresponding author, e-mail: [email protected]

^∗Supported by National Natural Science Foundation of China (Grant No. 19971086) and Doctoral Program Foundation of Higher Education of China

^†Corresponding author, e-mail: [email protected]

Notes

^∗Supported by National Natural Science Foundation of China (Grant No. 19971086) and Doctoral Program Foundation of Higher Education of China

^†Corresponding author, e-mail: [email protected]

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A note on the second largest eigenvalue of the laplacian matrix of a graphFootnote^∗
^∗Supported by National Natural Science Foundation of China (Grant No. 19971086) and Doctoral Program Foundation of Higher Education of China

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A note on the second largest eigenvalue of the laplacian matrix of a graphFootnote∗∗Supported by National Natural Science Foundation of China (Grant No. 19971086) and Doctoral Program Foundation of Higher Education of China

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A note on the second largest eigenvalue of the laplacian matrix of a graphFootnote^∗
^∗Supported by National Natural Science Foundation of China (Grant No. 19971086) and Doctoral Program Foundation of Higher Education of China