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On unique \(k\)-factors and unique \([1,k]\)-factors in graphs.

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Publication:1427474
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DOI10.1016/S0012-365X(03)00248-6zbMath1041.05060MaRDI QIDQ1427474

Arne Hoffmann, Lutz Volkmann

Publication date: 14 March 2004

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


zbMATH Keywords

extremal graphs\(k\)-factor\([1k\)-factor]


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)


Related Items

Graph factors and factorization: 1985--2003: a survey, On graphs that contain exactly \(k\) copies of a subgraph, and a related problem in search theory, On the maximum number of edges in a hypergraph with a unique perfect matching, On the size and structure of graphs with a constant number of 1-factors, On graphs with a unique perfect matching



Cites Work

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  • The maximum size of graphs with a unique \(k\)-factor
  • Maximum graphs with a unique k-factor
  • 1-Faktoren von Graphen. (1-factors of graphs)
  • A note concerning graphs with unique f-factors
  • Graphs with exactly one hamiltonian circuit
  • On the structure of graphs with a uniquek-factor
  • On the 1-factors of a non-separable graph
  • On the structure of factorizable graphs
  • The 1-Factors of Oriented Graphs
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