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Contractions of 6-connected toroidal graphs

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Publication:885291
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DOI10.1016/j.jctb.2006.09.003zbMath1120.05025OpenAlexW2139585347MaRDI QIDQ885291

Gašper Fijavž

Publication date: 8 June 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.2006.09.003


zbMATH Keywords

toroidal graphminor-minimal \(6\)-connected graph


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graph minors (05C83)


Related Items

Minimum Degree and Graph Minors ⋮ Equivelar maps on the torus



Cites Work

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  • Irreducible triangulations of the torus
  • A survey on contractible edges in graphs of a prescribed vertex connectivity
  • Uniqueness and faithfulness of embedding of toroidal graphs
  • \(K_6\)-minors in projective planar graphs
  • Minor-minimal 6-regular graphs in the Klein bottle
  • Hamiltonian circuits in some maps on the torus
  • Construction and enumeration of regular maps on the torus
  • Über Minimalstrukturen von Graphen, insbesondere von n-fach zusammenhängenden Graphen
  • Uncontractable 4-connected graphs


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