Improved bounds on linear coloring of plane graphs
โ Scribed by Wei Dong; BaoGang Xu; XiaoYan Zhang
- Book ID
- 107348183
- Publisher
- SP Science China Press
- Year
- 2010
- Tongue
- English
- Weight
- 180 KB
- Volume
- 53
- Category
- Article
- ISSN
- 1674-7283
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract A __polychromatic k__โ__coloring__ of a plane graph __G__ is an assignment of __k__ colors to the vertices of __G__ such that every face of __G__ has __all k__ colors on its boundary. For a given plane graph __G__, one seeks the __maximum__ number __k__ such that __G__ admits a polychro
A proper vertex coloring of a graph is called linear if the subgraph induced by the vertices colored by any two colors is a set of vertex-disjoint paths. The linear chromatic number of a graph G, denoted by lc(G), is the minimum number of colors in a linear coloring of G. Extending a result of Alon,
Borodin, O.V., Cyclic coloring of plane graphs, Discrete Mathematics 100 (1992) 281-289. Let G be a plane graph, and let x,(G) be the minimum number of colors to color the vertices of G so that every two of them which lie in the boundary of the same face of the size at most k, receive different colo