◀ ▲ ▶Branches / Graph-theory / Proposition: A Necessary Condition for a Graph to be Planar
Proposition: A Necessary Condition for a Graph to be Planar
Let $G(V,E)$ be a simple, biconnected, and planar graph. Then the number of its edges is less than three times the number of its vertices less $6$, formally $$|E|\le 3|V|-6.$$
Table of Contents
Proofs: 1
Mentioned in:
Propositions: 1
Solutions: 2
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