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Mixed graphs with smallest eigenvalue greater than -root 3

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In this paper, we determine the underlying graphs of the mixed graphs with smallest Hermitian eigenvalue greater than -root 3. Furthermore, we characterize all mixed graphs on n >= 11 vertices with smallest Hermitian eigenvalue greater than -root 3. The mixed graphs on n <= 10 vertices with smallest Hermitian eigenvalue greater than -root 3 could be also obtained easily with the help of computer because their underlying graphs are determined. Roughly speaking, we completely determine the mixed graphs with smallest Hermitian eigenvalue greater than -root 3. (C) 2021 Elsevier Inc. All rights reserved.

Mixed graphHermitian matrixSmallest eigenvalueSPECTRAL-RADIUSLEASTLEAST-1-ROOT-2

Lu, Junying、Liu, Weijun、Lu, Lu

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Cent South Univ

2022

Linear Algebra and its Applications

Linear Algebra and its Applications

EISCI
ISSN:0024-3795
年,卷(期):2022.635
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