Polychromatic 4-coloring of cubic bipartite plane graphs
β Scribed by Elad Horev; Matthew J. Katz; Roi Krakovski; Atsuhiro Nakamoto
- Book ID
- 113567516
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 249 KB
- Volume
- 312
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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## Abstract An interval coloring of a graph is a proper edge coloring such that the set of used colors at every vertex is an interval of integers. Generally, it is an NPβhard problem to decide whether a graph has an interval coloring or not. A bipartite graph __G__β=β(__A__,__B__;__E__) is (Ξ±, Ξ²)βb
## Abstract Given a bipartite graph __G__(__U__βͺ__V, E__) with __n__ vertices on each side, an independent set __I__β__G__ such that |__U__β©__I__|=|__V__β©__I__| is called a balanced bipartite independent set. A balanced coloring of __G__ is a coloring of the vertices of __G__ such that each color c