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Proof of the 1-factorization and Hamilton decomposition conjectures

In this paper the authors prove the following results (via a unified approach) for all sufficiently large n: (i) [1-factorization conjecture] Suppose that n is even and D\geq 2\lceil n/4\rceil -1. Then every D-regular graph G on n vertices has a decomposition into perfect matchings. Equivalently, \c...

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Detalles Bibliográficos
Autores principales: Csaba, Béla, Kühn, Daniela, Lo, Allan, Osthus, Deryk, Treglown, Andrew
Lenguaje:eng
Publicado: American Mathematical Society 2016
Materias:
Acceso en línea:http://cds.cern.ch/record/2622914