Note: Perfect matchings extend to Hamilton cycles in hypercubes

  • Authors:
  • Jiří Fink

  • Affiliations:
  • Department of Applied Mathematics, Faculty of Mathematics and Physics, Charles University, Malostranské náměstí 25, 118 00 Prague 1, Czech Republic

  • Venue:
  • Journal of Combinatorial Theory Series B
  • Year:
  • 2007

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Abstract

Kreweras' conjecture [G. Kreweras, Matchings and Hamiltonian cycles on hypercubes, Bull. Inst. Combin. Appl. 16 (1996) 87-91] asserts that any perfect matching of the hypercube Q"d, d=2, can be extended to a Hamilton cycle. We prove this conjecture.