โ
Charles R. Tanner
๐
Fiction
๐
2010
๐
UND
โ 14 KB
๐ 2 views
โฆ LIBER โฆ
The color space of a graph
โ Scribed by Tommy R. Jensen; Carsten Thomassen
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 191 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
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We shall prove that for any graph H that is a core, if ฯ(G) is large enough, then H ร G is uniquely H-colorable. We also give a new construction of triangle free graphs, which are uniquely n-colorable.
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โ
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In this article, we introduce the new notion of acyclic improper colorings of graphs. An improper coloring of a graph is a vertex-coloring in which adjacent vertices are allowed to have the same color, but each color class V i satisfies some condition depending on i. Such a coloring is acyclic if th