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Inertia of complex unit gain graphs
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Guihai, Qu, Hui, Tu, Jianhua
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Complex unit gain graphs with exactly one positive eigenvalue
Linear Algebra and its Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu Lu, Jianfeng Wang, Qiongxiang Huang
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Complex unit gain graphs of rank 2
Linear Algebra and its Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Xu +3 more
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Bounds for the rank of a complex unit gain graph in terms of its maximum degree
Linear Algebra and its Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu, Yong, Wu, Jingwen
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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, 2020A 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 multiplicity of $A��$-eigenvalues and the rank of complex unit gain graphs
2021Let $ =(G, ) $ be a connected complex unit gain graph ($ \mathbb{T} $-gain graph) on a simple graph $ G $ with $ n $ vertices and maximum vertex degree $ $. The associated adjacency matrix and degree matrix are denoted by $ A( ) $ and $ D( ) $, respectively. Let $ m_ ( , ) $ be the multiplicity of $ $ as an eigenvalue of $ A_ ( ) := D(
Samanta, Aniruddha, Kannan, M. Rajesh
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