On the spectral radius and energy of the degree distance matrix of a connected graph
Open MathematicsLet GG be a simple connected graph on nn vertices. The degree of a vertex v∈V(G)v\in V\left(G), denoted by dv{d}_{v}, is the number of edges incident with vv and the distance between any two vertices u,v∈V(G)u,v\in V\left(G), denoted by duv{d}_{uv}, is ...
Khan Zia Ullah, Hameed Abdul
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Spectral dynamics of guided edge removals and identifying transient amplifiers for death-Birth updating. [PDF]
J Math Biol, 2023 Richter H.
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A Laplacian eigenbasis for threshold graphs
Special MatricesLet GG be a graph on nn vertices. In this article, we prove that an eigenbasis of the Laplacian matrix of a star graph of order nn is also an eigenbasis of GG if and only if GG is a threshold graph. As an application of this spectral characterization, we
Macharete Rafael R. +3 more
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A New Decomposition of the Graph Laplacian and the Binomial Structure of Mass-Action Systems. [PDF]
J Nonlinear Sci, 2023 Müller S.
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Note on the product of the largest and the smallest eigenvalue of a graph
Special MatricesIn this note, we use eigenvalue interlacing to derive an inequality between a graph’s maximum degree and its maximum and minimum adjacency eigenvalues. The equality case is fully characterized.
Abiad Aida +2 more
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Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs. [PDF]
Probab Theory Relat Fields, 2021 He Y, Knowles A.
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On the minimum spectral radius of connected graphs of given order and size
Special MatricesIn this article, we study a question of Hong from 1993 related to the minimum spectral radii of the adjacency matrices of connected graphs of given order and size.
Cioaba Sebastian M. +2 more
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Spectral analysis of transient amplifiers for death-birth updating constructed from regular graphs. [PDF]
J Math Biol, 2021 Richter H.
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Eigenvalues of complex unit gain graphs and gain regularity
Special MatricesA 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
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Spectral top-down recovery of latent tree models. [PDF]
Inf inference, 2023 Aizenbud Y +7 more
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