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Veblen's theorem

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In mathematics, Veblen's theorem, introduced by Veblen (1912), states that the set of edges of a finite graph can be written as a union of disjoint cycles if and only if every vertex has even degree.

References

  • Veblen, Oswald (1912), "An Application of Modular Equations in Analysis Situs", Annals of Mathematics, Second Series, 14 (1), Annals of Mathematics: 86–94, ISSN 0003-486X