On spectra of distance Randić matrix of graphs

DOI10.1007/s00574-022-00312-wzbMath1502.05131OpenAlexW4298132650MaRDI QIDQ2091202

Hilal A. Ganie, Bilal Ahmad Rather

Publication date: 31 October 2022

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-022-00312-w

zbMATH Keywords

energyeigenvaluesRandić matrixdistance Randić matrixnormalized distance Laplacian matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Cites Work

• Two Laplacians for the distance matrix of a graph
• Spectra of graphs
• Normalized Laplacian spectrum of complete multipartite graphs
• The energy of graphs and matrices
• The distance Randić matrix of connected graphs
• On eigenvalues and energy of geometric-arithmetic matrix of graphs
• Characterization of graphs with an eigenvalue of large multiplicity
• Distance spectra of graphs: a survey
• On the distance Laplacian energy ordering of a tree
• The normalized distance Laplacian
• Graph Energy
• On the Arithmetic and Geometric Means and on Holder's Inequality
• On the distance matrix of a directed graph
• On graphs with three distinct signless Laplacian eigenvalues
• On a conjecture of Laplacian energy of trees
• On normalized distance Laplacian eigenvalues of graphs and applications to graphs defined on groups and rings
• On normalized Laplacian eigenvalues of power graphs associated to finite cyclic groups
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