An improved linear bound on the number of perfect matchings in cubic graphs

نویسندگان

  • Louis Esperet
  • Daniel Král
  • Petr Skoda
  • Riste Skrekovski
چکیده

We show that every cubic bridgeless graph with n vertices has at least 3n/4 − 10 perfect matchings. This is the first bound that differs by more than a constant from the maximal dimension of the perfect matching polytope.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 31  شماره 

صفحات  -

تاریخ انتشار 2010