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Many disjoint dense subgraphs versus large \(k\)-connected subgraphs in large graphs with given edge density

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Publication:1011746
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DOI10.1016/j.disc.2008.01.010zbMath1170.05040OpenAlexW2126027527MaRDI QIDQ1011746

Thomas Böhme, Alexandr V. Kostochka

Publication date: 9 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2008.01.010


zbMATH Keywords

graph minorsedge densityconnected subgraphs


Mathematics Subject Classification ID

Connectivity (05C40)


Related Items (1)

A note on the saturation number of the family of \(k\)-connected graphs



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Lower bound of the Hadwiger number of graphs by their average degree
  • Linear connectivity forces large complete bipartite minors
  • Proof of a conjecture of Mader, Erdős and Hajnal on topological complete subgraphs
  • The extremal function for complete minors
  • Homomorphiesätze für Graphen
  • Homomorphieeigenschaften und mittlere Kantendichte von Graphen
  • Existenz n-fach zusammenhängender Teilgraphen in Graphen genügend großer Kantendichte
  • An extremal function for contractions of graphs
  • Topological cliques in graphs II


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