Factorially many maximum matchings close to the erd˝os-gallai bound

HIGHLIGHTS

  • who: Stu00e9phane Bessy et al. from the France Ulm University have published the research: Factorially Many Maximum Matchings Close to the Erdu02ddos-Gallai Bound, in the Journal: (JOURNAL)
  • what: The authors show that G has factorially many maximum matchings provided that its size is sufficiently close to m(n u03bd). The authors provide some intuition for x and y.

SUMMARY

    The starting point here was the observation that the two extremal graphs in_(i) and_(ii) have (2νn + 1)! and_(n - νn)νn (νn)!2νn maximum matchings, respectively. Estimating . . .

     

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