Graphs with small second largest Laplacian eigenvalue

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Graphs with small second largest Laplacian eigenvalue

Let L(G) be the Laplacian matrix of G. In this paper, we characterize all of the connected graphs with second largest Laplacian eigenvalue no more than l; where l . = 3.2470 is the largest root of the equation μ3 − 5μ2 + 6μ − 1 = 0. Moreover, this result is used to characterize all connected graphs with second largest Laplacian eigenvalue no more than three. © 2013 Elsevier Ltd. All rights rese...

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Spectral Characterization of Graphs with Small Second Largest Laplacian Eigenvalue

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ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 2014

ISSN: 0195-6698

DOI: 10.1016/j.ejc.2013.07.015