We discuss relationships among T-colorings of graphs and chromatic numbers, fractional chromatic numbers, and circular chromatic numbers of distance graphs. We first prove that for any finite integral set T that contains 0, the asymptotic T-coloring ratio R(T ) is equal to the fractional chromatic n
Pattern Periodic Coloring of Distance Graphs
โ Scribed by Xuding Zhu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 250 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
โฆ Synopsis
Suppose D is a subset of Z. The distance graph G(Z, D) with distance set D is the graph with vertex set Z and two vertices x, y are adjacent if |x& y| # D. We introduce a coloring method for distance graphs, the pattern periodic coloring, and we shall compare this method with other general coloring methods of distance graphs.
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