Characterizing signed mixed graphs with small eigenvalues

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Signed and weighted graphs (05C22)

Cites Work

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Spectral properties of complex unit gain graphs
Hermitian-adjacency matrices and Hermitian energies of mixed graphs
On a conjecture concerning spanning tree invariants and loop systems
Oriented gain graphs, line graphs and eigenvalues
The graphs with spectral radius between 2 and \(\sqrt{2+\sqrt{5}}\)
Signed graphs
On graphs with smallest eigenvalue at least \(-3\) and their lattices
Mixed graphs with smallest eigenvalue greater than \(- \sqrt{3}\)
Spectral fundamentals and characterizations of signed directed graphs
Hermitian adjacency matrix of the second kind for mixed graphs
Unit gain graphs with two distinct eigenvalues and systems of lines in complex space
Mixed graphs with smallest eigenvalue greater than \(- \frac{ \sqrt{ 5} + 1}{ 2} \)
Spectral properties of the eccentricity matrix of graphs
The multiplicity of an \(A_\alpha \)-eigenvalue: a unified approach for mixed graphs and complex unit gain graphs
Complex unit gain graphs with exactly one positive eigenvalue
On mixed graphs whose Hermitian spectral radii are at most 2
Godsil-McKay switching for mixed and gain graphs over the circle group
Gain distance matrices for complex unit gain graphs
Balancedness and the least Laplacian eigenvalue of some complex unit gain graphs
A new kind of Hermitian matrices for digraphs
Distance-regular Cayley graphs with least eigenvalue \(-2\)
Cyclotomic matrices over the Eisenstein and Gaussian integers
Digraphs with Hermitian spectral radius below 2 and their cospectrality with paths
Balancedness and the least eigenvalue of Laplacian of signed graphs
Large regular bipartite graphs with median eigenvalue 1
On graphs whose spectral radius is bounded by \(\frac{3}{2}\sqrt{2}\)
Equiangular lines
Constructing cospectral signed graphs
On the relation between the adjacency rank of a complex unit gain graph and the matching number of its underlying graph

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