Color-critical graphs with independent cutset
โ Scribed by S. M. Gyulumyan
- Book ID
- 105058710
- Publisher
- Springer US
- Year
- 1987
- Tongue
- English
- Weight
- 581 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1573-8337
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We show that every plane graph with maximum face size four in which all faces of size four are vertexโdisjoint is cyclically 5โcolorable. This answers a question of Albertson whether graphs drawn in the plane with all crossings independent are 5โcolorable. ยฉ 2009 Wiley Periodicals, Inc.
## Abstract We prove that for every __k__ there is a __k__โchromatic graph with a __k__โcoloring where the neighbors of each colorโclass form an independent set. This answers a question raised by N. J. A. Harvey and U. S. R. Murty [4]. In fact we find the smallest graph __G__~__k__~ with the requir
We consider graphs that have a clique-cutset, and we show that this property preserves the existence of a kernel in a certain sense. We consider finite directed graphs that do not have multiple arcs or loops, but there may be symmetric arcs between some pairs of vertices. Let G = (V, A) be a direct