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Eigenvalue-free interval for Seidel matrices of threshold graphs

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The distribution of eigenvalues for Seidel matrices of threshold graphs is investigated in this paper. We show that there is no eigenvalue of Seidel matrices of threshold graphs in the interval (-root 2, / root 2,) except for -1 and 1. We also determine the inertia of the Seidel matrix of a threshold graph in terms of its binary string. (C)& nbsp;2022 Elsevier Inc. All rights reserved.

Threshold graphSeidel matrixEigenvalue-free interval

Xiong, Zhuang、Hou, Yaoping

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Hunan Normal Univ

2022

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN:0096-3003
年,卷(期):2022.427
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