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Eigenvalues of complex unit gain graphs and gain regularity

open access: yesSpecial Matrices
A complex unit gain graph (or T{\mathbb{T}}-gain graph) Γ=(G,γ)\Gamma =\left(G,\gamma ) is a gain graph with gains in T{\mathbb{T}}, the multiplicative group of complex units.
Brunetti Maurizio
doaj   +1 more source

Computing the determinant of a signed graph

open access: yesOpen Mathematics
A signed graph is a simple graph in which every edge has a positive or negative sign. In this article, we employ several algebraic techniques to compute the determinant of a signed graph in terms of the spectrum of a vertex-deleted subgraph.
Alshamary Bader, Stanić Zoran
doaj   +1 more source

Sombor Index, Randic Index, and Forgotten Index of Fuzzy Coprime Graph on Dihedral Group

open access: yesInPrime
This research investigates the topological indices—Sombor, Randic, and Forgotten—of the fuzzy coprime graph constructed from dihedral groups. These indices, which quantify graph structural properties, have important applications in mathematical ...
Gusti Yogananda Karang   +2 more
doaj   +1 more source
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Constructing cospectral signed graphs

Linear and Multilinear Algebra, 2021
Maurizio Brunetti   +2 more
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Weighted graphs with an application to returned sequence

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Ali Shukur
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On the adjacency matrix of a complex unit gain graph

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Rajesh Kannan M   +2 more
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On distance and Laplacian matrices of trees with matrix weights

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Rajesh Kannan M   +2 more
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