Index four orientable embeddings and case zero of the Heawood conjecture

DOI10.1016/0095-8956(79)90051-0zbMath0331.05102OpenAlexW2034940329MaRDI QIDQ1227747

David J. Pengelley, Mark Jungerman

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0095-8956(79)90051-0

zbMATH Keywords

HEAWOOD CONJECTUREINDEX FOUR ORIENTABLE EMBEDDINGS

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Coloring of graphs and hypergraphs (05C15)

Related Items (3)

A simple construction for orientable triangular embeddings of the complete graphs on \(12 s\) vertices ⋮ Exponentially many nonisomorphic orientable triangular embeddings of \(K_{12s}\) ⋮ Simultaneous current graph constructions for minimum triangulations and complete graph embeddings

Cites Work

• Unnamed Item
• Lösung des Problems der Nachbargebiete
• The necessity of non-abelian groups in the case O of the Heawood map- coloring theorem
• The genus of K12s
• SOLUTION OF THE HEAWOOD MAP-COLORING PROBLEM
• Solution of the Heawood map-coloring problem—case 11

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