Theorem: Five Color Theorem for Planar Graphs

Let $G$ be a simple, connected, planar graph. Then the chromatic number of $G$ obeys the following inequality $$\chi(G)\le 5.$$

Proofs: 1


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References

Bibliography

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