Lemma: Size of an \(r\)-regular Graph with \(n\) Vertices

Let \(G(V,E)\) be an \(r\)-regular graph with \(n\) vertices. Then the size of \(G\) is \[|E|=\frac {nr}2.\]

Proofs: 1


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References

Bibliography

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