Abstract
A complex unit gain graph is a graph where each orientation of an edge is given a complex unit, which is the inverse of the complex unit assigned to the opposite orientation. In this paper, we characterize the structure of the complex unit gain graphs with exactly one positive eigenvalue. As its applications, we obtain the complex unit gain graphs with rank 2, and investigate the complex unit gain graphs with exactly two eigenvalues different from 0 and −1.
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.