Equitable total coloring ofFn⋁Wn
✍ Scribed by Kun Gong; Zhong-fu Zhang; Jian-fang Wang
- Book ID
- 106301212
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2008
- Tongue
- English
- Weight
- 149 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0168-9673
No coin nor oath required. For personal study only.
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A graph is equitably \(k\)-colorable if its vertices can be partitioned into \(k\) independent sets of as near equal sizes as possible. Regarding a non-null tree \(T\) as a bipartite graph \(T(X, Y)\), we show that \(T\) is equitably \(k\)-colorable if and only if (i) \(k \geqslant 2\) when ||\(X|-|
## Abstract Given lists of available colors assigned to the vertices of a graph __G__, a __list coloring__ is a proper coloring of __G__ such that the color on each vertex is chosen from its list. If the lists all have size __k__, then a list coloring is __equitable__ if each color appears on at mo