Distance graphs with maximum chromatic number

Let $D$ be a finite set of integers. The distance graph $G(D)$ has the set of integers as vertices and two vertices at distance $d ∈D$ are adjacent in $G(D)$. A conjecture of Xuding Zhu states that if the chromatic number of $G (D)$ achieves its maximum value $|D|+1$ then the graph has a clique of o...

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Bibliographic Details
Main Authors: Javier Barajas, Oriol Serra
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2005-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/3391/pdf