Distance spectral radius of digraphs with given connectivity

DOI10.1016/j.disc.2012.02.023zbMath1244.05146OpenAlexW2026716894MaRDI QIDQ427824

Huiqiu Lin, Hailiang Zhang, Weihua Yang, Jin-Long Shu

Publication date: 18 June 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2012.02.023

zbMATH Keywords

vertex connectivitydistance spectral radiusedge connectivity

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12) Directed graphs (digraphs), tournaments (05C20) Connectivity (05C40)

Related Items (17)

On the distance spectrum of graphs ⋮ Unnamed Item ⋮ Bounds on the distance signless Laplacian spectral radius in terms of clique number ⋮ The \(A_{\alpha}\) spectral radius characterization of some digraphs ⋮ The distance spectral radius of digraphs ⋮ The inertia and energy of the distance matrix of a connected graph ⋮ Some results on the distance and distance signless Laplacian spectral radius of graphs and digraphs ⋮ Spectral radius and signless Laplacian spectral radius of strongly connected digraphs ⋮ Distance spectra of graphs: a survey ⋮ On graphs with at least three distance eigenvalues less than \(-1\) ⋮ Spectral radius of strongly connected digraphs ⋮ On the spectrum of an equitable quotient matrix and its application ⋮ The generalized distance matrix of digraphs ⋮ The (distance) signless Laplacian spectral radius of digraphs with given arc connectivity ⋮ On the distance spectral radius of digraphs with given diameter ⋮ On distance Laplacian and distance signless Laplacian eigenvalues of graphs ⋮ The signless Laplacian and distance signless Laplacian spectral radius of digraphs with some given parameters

Cites Work

• Distance spectral radius of trees with given matching number
• Distance spectral radius of graphs with \(r\) pendent vertices
• Some graft transformations and its application on a distance spectrum
• Sharp bounds on the distance spectral radius and the distance energy of graphs
• The distance spectrum of the pathP_nand The First Distance Eigenvector of Connected Graphs
• The distance spectrum of a tree
• Distance spectral radius of trees with fixed maximum degree
• On spectral radius of the distance matrix
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