On distance spectral radius of graphs

DOI10.1016/j.laa.2012.12.024zbMath1261.05060OpenAlexW2136506615MaRDI QIDQ1947109

Bo Zhou, Yanna Wang

Publication date: 12 April 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.12.024

zbMATH Keywords

treesdomination numberdistance matrixdistance spectral radiusbipartition size

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Connectivity (05C40)

Related Items (22)

Connectivity, diameter, independence number and the distance spectral radius of graphs ⋮ Remoteness and distance eigenvalues of a graph ⋮ Characterizing the extremal graphs with respect to the eccentricity spectral radius, and beyond ⋮ Distance spectral radius of trees with given number of segments ⋮ Minimizing the distance spectral radius of uniform hypertrees with given parameters ⋮ A note on distance spectral radius of trees ⋮ On the distance and distance signless Laplacian spectral radii of bicyclic graphs ⋮ On least distance eigenvalues of trees, unicyclic graphs and bicyclic graphs ⋮ Distance eigenvalues of a cograph and their multiplicities ⋮ Extremal cacti of given matching number with respect to the distance spectral radius ⋮ On the largest and least eigenvalues of eccentricity matrix of trees ⋮ The distance spectral radius of trees ⋮ The effect of a graft transformation on distance spectral radius ⋮ Distance spectra of graphs: a survey ⋮ On distance spectral radius of hypergraphs ⋮ Distance spectral radius of uniform hypergraphs ⋮ On the distance spectral radius of trees with given degree sequence ⋮ The distance spectral radius of graphs with given number of odd vertices ⋮ Domination and Spectral Graph Theory ⋮ Laplacian and signless Laplacian spectral radii of graphs with fixed domination number ⋮ On the distance \(\alpha \)-spectral radius of a connected graph ⋮ Ordering trees by their distance spectral radii

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• Some graft transformations and its application on a distance spectrum
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• Domination, radius, and minimum degree
• On the distance matrix of a tree
• Distance matrix polynomials of trees
• Average distance and domination number
• Graph-theoretic parameters concerning domination, independence, and irredundance
• 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 Distance Spectral Radius and Distance Energy of Graphs
• On the Addressing Problem for Loop Switching

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