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On the size and structure of graphs with a constant number of 1-factors

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Publication:418889
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DOI10.1016/j.disc.2012.01.017zbMath1242.05130OpenAlexW2108443159MaRDI QIDQ418889

John R. Schmitt, Andrzej Dudek

Publication date: 30 May 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2012.01.017


zbMATH Keywords

1-factorextremal graph


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35)


Related Items

Extremal Graphs With a Given Number of Perfect Matchings ⋮ On graphs with a unique perfect matching



Cites Work

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  • Graphs with the maximum or minimum number of 1-factors
  • The maximum number of perfect matchings in graphs with a given degree sequence
  • On unique \(k\)-factors and unique \([1,k\)-factors in graphs.]
  • Hamiltonian Cycles and Uniquely Edge Colourable Graphs
  • Extremal Graphs With a Given Number of Perfect Matchings
  • On the structure of factorizable graphs. II


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