Unidirectional star graphs
β Scribed by Khaled Day; Anand Tripathi
- Book ID
- 103102783
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 568 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We develop a connection between vertex coloring in graphs and star arboricity which allows us to prove that every planar graph has star arboricity at most 5. This settles an open problem raised independently by Algor and Alon and by Ringel. We also show that deciding if a graph has star arboricity 2
Let G be a graph and n β₯ 2 an integer. We prove that the following are equivalent: (i) there is a partition , and (ii) for every subset S of V (G), G \ S has at most n|S| components with the property that each of their blocks is an odd order complete graph.
## Abstract A __star coloring__ of an undirected graph __G__ is a proper vertex coloring of __G__ (i.e., no two neighbors are assigned the same color) such that any path of length 3 in __G__ is not bicolored. The __star chromatic number__ of an undirected graph __G__, denoted by Ο~s~(__G__), is the