Precoloring Extension for 2‐connected Graphs
✍ Scribed by Voigt, Margit
- Book ID
- 118197592
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2007
- Tongue
- English
- Weight
- 133 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
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## Abstract Let __G__=(__V, E__) be a graph where every vertex __v__∈__V__ is assigned a list of available colors __L__(__v__). We say that __G__ is list colorable for a given list assignment if we can color every vertex using its list such that adjacent vertices get different colors. If __L__(__v_
## Abstract We show that the following problem is __NP__ complete: Let __G__ be a cubic bipartite graph and __f__ be a precoloring of a subset of edges of __G__ using at most three colors. Can __f__ be extended to a proper edge 3‐coloring of the entire graph __G__? This result provides a natural co