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Almost all 3-connected graphs contain a contractible set of \(k\) vertices

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Publication:1850571
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DOI10.1006/jctb.2001.2060zbMath1028.05056OpenAlexW1988376039MaRDI QIDQ1850571

Matthias Kriesell

Publication date: 10 December 2002

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

Full work available at URL: https://doi.org/10.1006/jctb.2001.2060


zbMATH Keywords

connectivitylongest cycleconnected subgraphlongest induced pathcontractable subgraph


Mathematics Subject Classification ID

Paths and cycles (05C38) Connectivity (05C40)


Related Items

On small contractible subgraphs in 3-connected graphs of small average degree ⋮ High connectivity keeping sets in graphs and digraphs



Cites Work

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  • \((k,g)\)-cages are 3-connected
  • Contractible triples in 3-connected graphs
  • Contractible subgraphs in 3-connected graphs
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