Eigenvalues of complex unit gain graphs and gain regularity

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Signed and weighted graphs (05C22) Graph operations (line graphs, products, etc.) (05C76)

Cites Work

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Spectra and Laplacian spectra of arbitrary powers of lexicographic products of graphs
Spectral properties of complex unit gain graphs
On the group of the composition of two graphs
Eigenvalues of symmetric integer matrices
On strongly regular signed graphs
Signed graphs with three eigenvalues: biregularity and beyond
Bounds for the extremal eigenvalues of gain Laplacian matrices
A group representation approach to balance of gain graphs
Unit gain graphs with two distinct eigenvalues and systems of lines in complex space
On cospectrality of gain graphs
The rank of a complex unit gain graph in terms of the matching number
Complex unit gain graphs with exactly one positive eigenvalue
Godsil-McKay switching for mixed and gain graphs over the circle group
Gain distance matrices for complex unit gain graphs
Every totally real algebraic integer is a tree eigenvalue
Balancedness and the least Laplacian eigenvalue of some complex unit gain graphs
Edge perturbation on signed graphs with clusters: adjacency and Laplacian eigenvalues
On the determinant of the Laplacian matrix of a complex unit gain graph
Large regular bipartite graphs with median eigenvalue 1
On composition of signed graphs
An Introduction to Symbolic Dynamics and Coding
On the adjacency matrix of a complex unit gain graph
NEPS of complex unit gain graphs

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