On weakly neighborly polyhedral maps of arbitrary genus

DOI10.1007/BF02772855zbMath0592.51016MaRDI QIDQ1075594

Ulrich Brehm, Amos Altshuler

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

weakly neighborly polyhedral mapHeawood map color theoremp-vector

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Triangulating manifolds (57Q15)

Related Items (max. 100)

The weakly neighborly polyhedral maps on the 2-manifold with Euler characteristic -1 ⋮ The weakly neighborly polyhedral maps on the non-orientable 2-manifold with Euler characteristic -2 ⋮ Neighborly maps with few vertices ⋮ Normal surfaces as combinatorial slicings ⋮ Nonexistence of weakly neighborly polyhedral maps on the orientable 2- manifold of genus 2

Cites Work

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• The weakly neighborly polyhedral maps on the torus
• Nonexistence of weakly neighborly polyhedral maps on the orientable 2- manifold of genus 2
• The weakly neighborly polyhedral maps on the non-orientable 2-manifold with Euler characteristic -2
• Polyhedral realization in \(R^ 3\) of triangulations of the torus and 2- manifolds in cyclic 4-polytopes
• A non‐Schlegelian polyhedral map on the torus

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