A Bound on the Chromatic Number of an Almost Planar Graph
β Scribed by Nenashev, G. V.
- Book ID
- 121571425
- Publisher
- Springer US
- Year
- 2014
- Tongue
- English
- Weight
- 296 KB
- Volume
- 196
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We give an upper bound on the chromatic number of a graph in terms of its maximum degree and the size of the largest complete subgraph. Our result extends a theorem due to i3rook.s.
Let C be a simple graph. let JiGI denote the maximum degree of it\ \erlicek. ,III~ Ic~r \ 1 C; 1 denote irs chromatic pumber. Brooks' Theorem asserb lha1 ytG I'--AI G I. unk\\ C; hd.. .I component that is a COI lplete graph K,,,,\_ ,. or ullesq .I1 G I = 2 and G ha\ ;~n c~rld C\CIC
## Abstract The upper bound for the harmonious chromatic number of a graph that has been given by SinβMin Lee and John Mitchem is improved.