◀ ▲ ▶Branches / Graph-theory / Proposition: Chromatic Number and Maximum Vertex Degree
Proposition: Chromatic Number and Maximum Vertex Degree
In a simple graph $G$ with the maximum vertex degree $d$, the chromatic number obeys the following inequality:
$$\chi(G)\le d+1.$$
Table of Contents
Proofs: 1
Thank you to the contributors under CC BY-SA 4.0!
![](https://github.com/bookofproofs/bookofproofs.github.io/blob/main/_sources/_assets/images/calendar-black.png?raw=true)
- Github:
-
![bookofproofs](https://github.com/bookofproofs.png?size=32)
References
Bibliography
- Aldous Joan M., Wilson Robin J.: "Graphs and Applications - An Introductory Approach", Springer, 2000