Spatial polyhedra without diagonals

DOI10.1007/BF02773687zbMath0799.52011OpenAlexW2061506285MaRDI QIDQ1327516

Peter Schuchert, Amos Altshuler, Jürgen Bokowski

Publication date: 9 November 1994

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

Full work available at URL: https://doi.org/10.1007/bf02773687

zbMATH Keywords

oriented matroidsembedding problemspseudomanifoldspolyhedral manifoldsfinal polynomials

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35) Triple systems (05B07)

Cites Work

• On the finding of final polynomials
• On 1-rotational \(S_\lambda(2,3,v)\) designs
• On the existence of 2-designs Slambda(2,3,v) without repeated blocks
• On the difficulty of triangulating three-dimensional nonconvex polyhedra
• Computational synthetic geometry
• Neighborly maps with few vertices
• Neighborly combinatorial 3-manifolds with 9 vertices
• Neighborly 4-polytopes with 9 vertices
• Polyhedral realization in \(R^ 3\) of triangulations of the torus and 2- manifolds in cyclic 4-polytopes
• Constructions of Disjoint Steiner Triple Systems
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