Lemma: Handshaking Lemma for Finite Graphs

In any finite graph \(G(V,E,\gamma)\), the sum of all the vertex degrees is equal to twice the number of edges: \[\sum_{v\in V}\deg_G(v)=2|E|.\]

Proofs: 1 Corollaries: 1

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