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A constructive characterization of 3-connected triangle-free graphs

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Publication:875938
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DOI10.1016/j.jctb.2006.06.002zbMath1113.05059OpenAlexW2116546239MaRDI QIDQ875938

Matthias Kriesell

Publication date: 16 April 2007

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jctb.2006.06.002


zbMATH Keywords

contractionminorconnectivitytriangle-free


Mathematics Subject Classification ID

Graph minors (05C83) Connectivity (05C40)


Related Items (2)

Improving a chain theorem for triangle-free 3-connected matroids ⋮ Uniformly 3‐connected graphs



Cites Work

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  • How to contract an essentially 6-connected graph to a 5-connected graph
  • Generalizaions of critical connectivity of graphs
  • Zur Struktur minimal n-fach zusammenhängender Graphen
  • A survey on contractible edges in graphs of a prescribed vertex connectivity
  • Contractible non-edges in \(3\)-connected graphs
  • Contractible non-edges in triangle-free graphs
  • Über Minimalstrukturen von Graphen, insbesondere von n-fach zusammenhängenden Graphen
  • Kuratowski's theorem
  • Nonseparating cycles inK-Connected graphs
  • Average degree and contractibility
  • A note on primitive skew curves


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