Abstract
In this paper, we determine the underlying graphs of the mixed graphs with smallest Hermitian eigenvalue greater than -\sqrt{3}. Furthermore, we characterize all mixed graphs on n\ge 11 vertices with smallest Hermitian eigenvalue greater than -\sqrt{3}. The mixed graphs on n\le 10 vertices with smallest Hermitian eigenvalue greater than -\sqrt{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 -\sqrt{3}.
Type
Publication
In Linear Algebra and Its Applications
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Lu Lu(鲁卢)
Associate Professor, PhD Supervisor
My research interests include algebraic graph theory, spectral graph theory and group theory.