The empire problem in even embeddings on closed surfaces with \(\varepsilon\leq 0\)

DOI10.1016/j.disc.2012.10.024zbMath1277.05070OpenAlexW2216566391MaRDI QIDQ383759

Kenta Noguchi

Publication date: 6 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.disc.2012.10.024

zbMATH Keywords

current graphempire problemeven embedding

Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Cites Work

• 3-colorable even embeddings on closed surfaces
• Maps of m-pires on the projective plane
• Heawood's empire problem
• Minimal quadrangulations of orientable surfaces
• Three-coloring graphs embedded on surfaces with all faces even-sided
• The Empire Problem in Even Embeddings on Closed Surfaces
• Solution of Heawood's empire problem in the plane.
• Representing of K13 as a 2-pire map on the Klein bottle.
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