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  • Aaghabali, M., et al. (author)
  • Upper bounds on the number of perfect matchings and directed 2-factors in graphs with given number of vertices and edges
  • 2015
  • In: European journal of combinatorics (Print). - : Elsevier BV. - 0195-6698 .- 1095-9971. ; 45, s. 132-144
  • Journal article (peer-reviewed)abstract
    • We give an upper bound on the number of perfect matchings in simple graphs with a given number of vertices and edges. We apply this result to give an upper bound on the number of 2-factors in a directed complete bipartite balanced graph on 2n vertices. The upper bound is sharp for even n. For odd n we state a conjecture on a sharp upper bound.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Aaghabali, M. (1)
Akbari, S. (1)
Friedland, S. (1)
Markström, Klas (1)
Tajfirouz, Z. (1)
University
Umeå University (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2015 (1)

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