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This theorem was discovered by Leonhard Euler (1707  1783).
Theorem: Euler Characteristic for Planar Graphs
Let \(G\) be a connected planar graph with a planar drawing consisting of \(v\) vertices, \(e\) edges and \(f\) faces. Then
\[ve+f=2.\]
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1 2 3 4
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References
Bibliography
 Aldous Joan M., Wilson Robin J.: "Graphs and Applications  An Introductory Approach", Springer, 2000