Spectra of variants of distance matrices of graphs and digraphs: a survey

Graph polynomials (05C31) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12)

Cites Work

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On the distance spectra of graphs
Hypercubes are determined by their distance spectra
Two Laplacians for the distance matrix of a graph
A short note on a short remark of Graham and Lovász
Distance spectral radius of digraphs with given connectivity
Constructing cospectral graphs
Graph functions maximized on a path
Partial difference sets
The distance spectrum and energy of the compositions of regular graphs
Proof of the squashed cube conjecture
A directed graph version of strongly regular graphs
On the distance matrix of a tree
Distance matrix polynomials of trees
Distance-regular graphs the distance matrix of which has only one positive eigenvalue
A brief introduction to spectral graph theory
Some results on the distance and distance signless Laplacian spectral radius of graphs and digraphs
Cospectral constructions for several graph matrices using cousin vertices
Distance spectra of graphs: a survey
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Cospectrality of graphs with respect to distance matrices
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A construction of distance cospectral graphs
Complete multipartite graphs are determined by their distance spectra
The distance spectral radius of digraphs
The normalized distance Laplacian
Eigenspaces of graphs
On the distance signless Laplacian of a graph
Distance spectrum of graph compositions
Graphs that are cospectral for the distance Laplacian
The distance spectrum of the pathP_nand The First Distance Eigenvector of Connected Graphs
On the distance matrix of a directed graph
Proof of a conjecture of Graham and Lov\'asz concerning unimodality of coefficients of the distance characteristic polynomial of a tree
Spectral theory of products of digraphs
On the Addressing Problem for Loop Switching
Graphs and matrices
Matrix theory. Basic results and techniques

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