On nested split graphs whose second largest eigenvalue is less than 1

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Graphs with three distinct eigenvalues and largest eigenvalue less than

Article history: Received 13 June 2008 Accepted 13 November 2008 Available online xxxx Submitted by R.A. Brualdi AMS classification: 05C50

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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

The family G of connected graphs with second largest Laplacian eigenvalue at most θ, where θ = 3.2470 is the largest root of the equation μ−5μ+6μ−1 = 0, is characterized by Wu, Yu and Shu [Y.R. Wu, G.L. Yu and J.L. Shu, Graphs with small second largest Laplacian eigenvalue, European J. Combin. 36 (2014) 190–197]. Let G(a, b, c, d) be a graph with order n = 2a + b + 2c + 3d + 1 that consists of ...

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Ela Nested Graphs with Bounded Second Largest ( Signless Laplacian

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2009

ISSN: 0024-3795

DOI: 10.1016/j.laa.2008.11.026