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Rooted minor problems in highly connected graphs

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Publication:1886348
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DOI10.1016/j.disc.2004.07.007zbMath1051.05075OpenAlexW2081145725MaRDI QIDQ1886348

Ken-ichi Kawarabayashi

Publication date: 18 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.disc.2004.07.007


zbMATH Keywords

connectivityrooted minor


Mathematics Subject Classification ID

Graph minors (05C83) Connectivity (05C40)


Related Items (5)

Rooted \(K_4\)-minors ⋮ Linkless and flat embeddings in 3-space ⋮ Note on coloring graphs without odd-\(K_k\)-minors ⋮ List-coloring graphs without \(K_{4,k}\)-minors ⋮ Unnamed Item



Cites Work

  • Unnamed Item
  • Forcing unbalanced complete bipartite minors
  • On \(K_{s,t}\)-minors in graphs with given average degree
  • Linear connectivity forces large complete bipartite minors
  • Hadwiger's conjecture for \(K_ 6\)-free graphs
  • An improved linear edge bound for graph linkages
  • Graph minors. IX: Disjoint crossed paths
  • Graph minors. XIII: The disjoint paths problem
  • The extremal function for noncomplete minors
  • Any 7-chromatic graph has \(K_7\) or \(K_{4,4}\) as a minor
  • Highly linked graphs
  • Extremal results for rooted minor problems
  • Vertex partitions of \(K_{4,4}\)-minor free graphs


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