Edge coloring nearly bipartite graphs
β Scribed by Bruce Reed
- Book ID
- 108410544
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 77 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0167-6377
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Given a bipartite graph G with n nodes, m edges, and maximum degree β¬, we Ε½ . find an edge-coloring for G using β¬ colors in time T q O m log β¬ , where T is the time needed to find a perfect matching in a k-regular bipartite graph with Ε½ . O m edges and k F β¬. Together with best known bounds for T th
## Abstract A __star coloring__ of a graph is a proper vertexβcoloring such that no path on four vertices is 2βcolored. We prove that the vertices of every bipartite planar graph can be star colored from lists of size 14, and we give an example of a bipartite planar graph that requires at least eig
## 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