Minimal quadrangulations of nonorientable surfaces

DOI10.1016/0097-3165(89)90014-9zbMath0665.51007OpenAlexW1963693806MaRDI QIDQ1116092

Nora Hartsfield, Gerhard Ringel

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0097-3165(89)90014-9

zbMATH Keywords

maps on surfacesgraphs on surfacesminimal polyhedral realizations

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Planar graphs; geometric and topological aspects of graph theory (05C10) Topological geometries on manifolds (51H20)

Related Items (6)

The largest parity demigenus of a simple graph ⋮ Minimal quadrangulations of surfaces ⋮ Generalized Cayley maps and Hamiltonian maps of complete graphs ⋮ Odd complete minors in even embeddings on surfaces ⋮ Quadrangular embeddings of complete graphs and the even map color theorem ⋮ Triangulations on closed surfaces which quadrangulate other surfaces. II.

Cites Work

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• Wie man die geschlossenen nichtorientierbaren Flächen in möglichst wenig Dreiecke zerlegen kann
• Quadrangular embeddings of the complete even k-partite graph
• Minimal triangulations on orientable surfaces

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