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Edges not contained in triangles and the number of contractible edges in a 4-connected graph

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Publication:998425
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DOI10.1016/j.disc.2007.10.014zbMath1175.05071OpenAlexW2012522460MaRDI QIDQ998425

Yoshimi Egawa, Kiyoshi Ando

Publication date: 28 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.10.014


zbMATH Keywords

triangle4-connected graphcontractible edge


Mathematics Subject Classification ID

Connectivity (05C40)


Related Items (3)

Structure of edges in a 4-connected graph not contained in triangles and the number of contractible edges ⋮ Lower bound on the number of contractible edges in a 4-connected graph with edges not contained in triangles ⋮ Edges incident with a vertex of degree greater than four and a lower bound on the number of contractible edges in a 4-connected graph




Cites Work

  • Unnamed Item
  • Edges not contained in triangles and the distribution of contractible edges in a 4-connected graph
  • Contractible edges in a 4-connected graph with vertices of degree greater than four
  • Uncontractable 4-connected graphs
  • On the number of shredders
  • Fast Algorithms for k-Shredders and k-Node Connectivity Augmentation




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