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Mixed graphs with smallest eigenvalue greater than [formula omitted].

Authors :
Lu, Junying
Liu, Weijun
Lu, Lu
Source :
Linear Algebra & its Applications. Feb2022, Vol. 635, p95-115. 21p.
Publication Year :
2022

Abstract

In this paper, we determine the underlying graphs of the mixed graphs with smallest Hermitian eigenvalue greater than − 3. Furthermore, we characterize all mixed graphs on n ≥ 11 vertices with smallest Hermitian eigenvalue greater than − 3. The mixed graphs on n ≤ 10 vertices with smallest Hermitian eigenvalue greater than − 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 − 3. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00243795
Volume :
635
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
154244132
Full Text :
https://doi.org/10.1016/j.laa.2021.11.009