Results 181 to 190 of about 29,130 (196)

The gap between the rank of a complex unit gain graph and its underlying graph

Discrete Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiannan Zhou
exaly   +2 more sources

The multiplicity of an \(A_\alpha \)-eigenvalue: a unified approach for mixed graphs and complex unit gain graphs

Discret. Math., 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shuchao Li, Wei Wei
openaire   +3 more sources

Bounds for the rank of a complex unit gain graph in terms of its maximum degree

Linear Algebra and its Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu, Yong, Wu, Jingwen
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On the multiplicity of $Aα$-eigenvalues and the rank of complex unit gain graphs

2021
Let $ Φ=(G, φ) $ be a connected complex unit gain graph ($ \mathbb{T} $-gain graph) on a simple graph $ G $ with $ n $ vertices and maximum vertex degree $ Δ$. The associated adjacency matrix and degree matrix are denoted by $ A(Φ) $ and $ D(Φ) $, respectively. Let $ m_α(Φ,λ) $ be the multiplicity of $ λ$ as an eigenvalue of $ A_α(Φ) :=αD(Φ)+(1-α)A(Φ)$,
Samanta, Aniruddha, Kannan, M. Rajesh
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Relation between the inertia indices of a complex unit gain graph and those of its underlying graph

Linear and Multilinear Algebra, 2020
A T -gain graph is a triple Φ = ( G , T , ϕ ) consisting of an underlying graph G = ( V ( G ) , E ( G ) ) , the circle group T = { z ∈ C : | z | = 1 } and a gain function ϕ : E → → T , such that ϕ ...
Shahid Zaman, Xiaocong He
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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, 2020
Let G ϕ be an n-vertex complex unit gain graph and let G be its underlying graph. The adjacency rank of G ϕ , written as r ( G ϕ ) , is the rank of its adjacency matrix and denote by α ′ ( G ) the ...
Shuchao Li, Ting Yang
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The rank of a complex unit gain graph in terms of the rank and the independence number of its underlying graph

Discrete Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi Wu, Jialei Song, Yong Lu
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Gain distance matrices for complex unit gain graphs

Discrete Mathematics, 2022
Rajesh Kannan M, Aniruddha Samanta
exaly  

The multiplicity of an Aα-eigenvalue: A unified approach for mixed graphs and complex unit gain graphs

Discrete Mathematics, 2020
Shuchao Li
exaly  

The effect on Aα-eigenvalues of mixed graphs and unit gain graphs by adding edges in clusters

Linear and Multilinear Algebra, 2022
Yuantian Yu, Shuchao Li
exaly