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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 \[v-e+f=2.\]

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2 3 4

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References

Bibliography

  1. Aldous Joan M., Wilson Robin J.: "Graphs and Applications - An Introductory Approach", Springer, 2000