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Orientation distance graphs

Journal of Graph Theory, 2001
The orientation distance between two orientations \(D\) and \(D'\) of a graph \(G\) is the minimum number of edges of \(G\) whose orientation needs to be reversed to transform \(D\) into an orientation isomorphic to \(D'\). The orientation distance graph with respect to \(G\) is a graph whose vertex set is a certain set of such orientations and in ...
Gary Chartrand   +3 more
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Stratified graphs and distance graphs

Ars Comb., 2000
The author answers several questions of \textit{G. Chartrand} et al. [Congr. Numerantium 107, 81-96 (1995; Zbl 0896.05022)] concerning so called stratified graphs and distance graphs. A graph is stratified if its vertex set is partitioned into stable sets.
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Graph Distance and Euclidean Distance on the Grid

1990
Given a connected graph G = (V, E),V = Z2, on the lattice points of the plane, let d G (p, q) and d(p,q) denote the graph distance and the Euclidean distance between p and q respectively. In this note we prove that for every є > 0 there is a graph G = Gє and a constant d = dє such that $$\left| {{d}_{G}}(p,q)-d(p,q) \right|
Pach, János   +2 more
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Colouring of distance graphs

Ars Comb., 1999
For a set \(D\) of positive integers, the distance graph \(G(D)\) has the integers as vertex set and two integers \(u,v\) are adjacent if \(|u-v|\in D\). The question of determining the chromatic number of distance graphs and first results can be found in \textit{R. B. Eggleton, P. Erdős}, and \textit{D. K. Skilton} [J. Comb. Theory, Ser. B 39, 86-100 (
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Modularity of Some Distance Graphs

Doklady Mathematics, 2020
A M Raigorodskii
exaly  

Distance Laplacian spectral ordering of sun type graphs

Applied Mathematics and Computation, 2023
Hilal A Ganie   +2 more
exaly  

ON FINITE PRIME DISTANCE GRAPHS

Indian Journal of Pure and Applied Mathematics, 2021
A Parthiban
exaly  

Characterizing distance-regularity of graphs by the spectrum

Journal of Combinatorial Theory - Series A, 2006
E Spence, E R van Dam, J H Koolen
exaly  

Distance-hereditary graphs are clique-perfect

Discrete Applied Mathematics, 2006
Maw-Shang Chang, Chuan-Min Lee
exaly  

The distance spectrum and energy of the compositions of regular graphs

Applied Mathematics Letters, 2009
Dragan Stevanovic
exaly  

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