The entire chromatic number Ο ve f (G) of a plane graph G is the least number of colors assigned to the vertices, edges and faces so that every two adjacent or incident pair of them receive different colors. conjectured that Ο ve f (G) β€ + 4 for every plane graph G. In this paper we prove the conj
Bounds on the chromatic number of intersection graphs of sets in the plane
β Scribed by I.G. Perepelitsa
- Book ID
- 108315791
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 101 KB
- Volume
- 262
- Category
- Article
- ISSN
- 0012-365X
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We show that the intersection graph of a collection of subsets of the plane, where each subset forms an "L" shape whose vertical stem is infinite, has its chromatic number 1 bounded by a function of the order of its largest clique w, where it is shown that ;1<2"4'3"4"'~'-". This proves a special cas
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