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Theorem: Characterization of Semi-Eulerian Graphs

A simple graph G(V,E) is semi-Eulerian, if and only if it is connected and it has exactly two vertices with an odd degree. This theorem is due to the Swiss mathematician Leonhard Euler (1707 - 1783).

Proofs: 1

Parts: 1


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References

Bibliography

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