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Splitting and contractible edges in 4-connected graphs

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Publication:1400957
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DOI10.1016/S0095-8956(02)00043-6zbMath1021.05064MaRDI QIDQ1400957

Akira Saito

Publication date: 17 August 2003

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


zbMATH Keywords

contractionsplitting4-connected graphs


Mathematics Subject Classification ID

Connectivity (05C40)


Related Items (3)

Reduction for 3-connected graphs of minimum degree at least four ⋮ A constructive characterization of 4-connected graphs ⋮ Contractible edges and liftable vertices in a 4-connected graph



Cites Work

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  • Contractible edges in 3-connected graphs
  • Generalizaions of critical connectivity of graphs
  • A survey on contractible edges in graphs of a prescribed vertex connectivity
  • A recursive characterization of the 4-connected graphs
  • Untersuchungen über minimale \(n\)-fach zusammenhängende Graphen
  • Some remarks on Arc‐connectivity, vertex splitting, and orientation in graphs and digraphs
  • Cyclic coloration of 3-polytopes
  • Kuratowski's theorem
  • Uncontractable 4-connected graphs
  • A Reduction Method for Edge-Connectivity in Graphs


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