Results 81 to 90 of about 2,494 (128)
On the Laplacian index of tadpole graphs
Special MatricesIn this article, we study the Laplacian index of tadpole graphs, which are unicyclic graphs formed by adding an edge between a cycle Ck{C}_{k} and a path Pn{P}_{n}.
Braga Rodrigo O., Veloso Bruno S.
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Universal Adjacency Matrices with Two Eigenvalues [PDF]
AMS Mathematics Subject Classification: 05C50.Adjacency matrix;Universal adjacency matrix;Laplacian matrix;signless Laplacian;Graph spectra;Eigenvalues;Strongly regular ...
Haemers, W.H., Omidi, G.R.
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What is a proper graph Laplacian? An operator-theoretic framework for graph diffusion
Special MatricesWe introduce an operator-theoretic definition of a proper graph Laplacian as any matrix associated with a given graph that can be expressed as the composition of a divergence and a gradient operator, with the gradient acting between graph-related spaces ...
Estrada Ernesto
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The Maximum Order of Adjacency Matrices With a Given Rank [PDF]
AMS Subject Classification: 05B20, 05C50.Graph;Adjacency ...
Haemers, W.H., Peeters, M.J.P.
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Some results involving the Aα-eigenvalues for graphs and line graphs
Special MatricesLet GG be a simple graph with adjacency matrix A(G)A\left(G), degree diagonal matrix D(G),D\left(G), and let l(G)l\left(G) be the line graph of GG. In 2017, Nikiforov defined the Aα{A}_{\alpha }-matrix of GG, Aα(G){A}_{\alpha }\left(G), as a linear ...
da Silva Júnior João Domingos G. +2 more
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Uniformity in Association schemes and Coherent Configurations: Cometric Q-Antipodal Schemes and Linked Systems [PDF]
2010 Mathematics Subject Classification.
Dam, E.R. van +2 more
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Spectra of R-Vertex Join and R-Edge Join of Two Graphs
Discussiones Mathematicae - General Algebra and Applications, 2018 The R-graph R(G) of a graph G is the graph obtained from G by intro- ducing a new vertex ue for each e ∈ E(G) and making ue adjacent to both the end vertices of e. In this paper, we determine the adjacency, Lapla- cian and signless Laplacian spectra of R-
Das Arpita, Panigrahi Pratima
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A Lower Bound for the Spectral Radius of Graphs with Fixed Diameter [PDF]
AMS classifications: 05C50, 05E99;graphs;spectral radius;diameter;bound;degree ...
Cioaba, S.M. +3 more
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Enumeration of Cospectral Graphs [PDF]
AMS classification: 05C50;graphs;eigenvalues ...
Haemers, W.H., Spence, E.
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The Minimal Spectral Radius of Graphs with a Given Diameter [PDF]
AMS classsifications: 05C50; 05E99; 94C15;graphs;spectral radius;diameter;networks;virus ...
Dam, E.R. van, Kooij, R.E.
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