The problem of minimum color sum of a graph is to color the vertices of the ลฝ . graph such that the sum average of all assigned colors is minimum. Recently it was shown that in general graphs this problem cannot be approximated within 1y โ ลฝ n , for any โ ) 0, unless NP s ZPP Bar-Noy et al., Informa
Sum Coloring of Bipartite Graphs with Bounded Degree
โ Scribed by Michal Malafiejski; Krzysztof Giaro; Robert Janczewski; Marek Kubale
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 580 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0178-4617
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract Given a bipartite graph __G__(__U__โช__V, E__) with __n__ vertices on each side, an independent set __I__โ__G__ such that |__U__โฉ__I__|=|__V__โฉ__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
If the vertices of a graph G are partitioned into k classes V~, I/2 ..... Vk such that each V~ is an independent set and I1V~I-IV~[I ~< 1 for all i#j, then G is said to be equitably colored with k colors. The smallest integer n for which G can be equitably colored with n colors is called the equitab
We show that the problem of deciding whether a connected bipartite graph of degree at most 4 has a cubic subgraph is NP-complete.