Results 271 to 280 of about 180,088 (293)

Balance theory: an extension to conjugate skew gain graphs

2022
Summary: We extend the notion of balance from the realm of signed and gain graphs to conjugate skew gain graphs which are skew gain graphs where the labels on the oriented edges get conjugated when we reverse the orientation. We characterize the balance in a conjugate skew gain graph in several ways especially by dealing with its adjacency matrix and ...
Koombail, Shahul Hameed, K O, Ramakrishnan   +1 more
openaire   +2 more sources

Construction of cospectral graphs, signed graphs and $${\mathbb {T}}$$-gain graphs via partial transpose

Journal of Algebraic Combinatorics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belardo F., Brunetti M., Cavaleri M., Donno A.   +3 more
openaire   +3 more sources

The determinant of the adjacency matrix of a quaternion unit gain graph

Discrete Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivan I Kyrchei
exaly   +3 more sources

On the wreath product of signed and gain graphs and its spectrum

Ars Mathematica Contemporanea
Summary: We introduce a notion of wreath product of two gain graphs \((\Gamma_1, \psi_1, G_1)\) and \((\Gamma_2, \psi_2, G_2)\), producing a gain graph over the direct product group \(G_2^{|V_{\Gamma_1}|} \times G_1\), whose underlying graph is the classical wreath product of graphs \(\Gamma_1 \wr \Gamma_2\).
Matteo Cavaleri, Alfredo Donno, Stefano Spessato   +2 more
openaire   +1 more source

Relation between the inertia indices of a complex unit gain graph and those of its underlying graph

Linear and Multilinear Algebra, 2022
Shahid Zaman, Xiaocong He
exaly  

On the adjacency matrix of a complex unit gain graph

Linear and Multilinear Algebra, 2022
Ranjit Mehatari, M Rajesh Kannan, Aniruddha Samanta   +2 more
exaly  

Bounds for the rank of a complex unit gain graph in terms of the independence number

Linear and Multilinear Algebra, 2022
Shengjie He, Rong-Xia Hao, Aimei Yu
exaly  

On the relation between the adjacency rank of a complex unit gain graph and the matching number of its underlying graph

Linear and Multilinear Algebra, 2022
Shuchao Li
exaly  

On -gain graphs with few positive eigenvalues

Linear and Multilinear Algebra, 2022
Xiaocong He, Lihua Feng, Lu Lu
openaire   +1 more source

On bounds of A-eigenvalue multiplicity and the rank of a complex unit gain graph

Discrete Mathematics, 2023
Aniruddha Samanta
exaly