Nearly neighbourly families of standard boxes

zbMath1475.52016arXiv1607.08195MaRDI QIDQ2278122

Jacek Bojarski, Andrzej P. Kisielewicz, Krzysztof Przeslawski

Publication date: 9 December 2019

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08195

zbMATH Keywords

boxnearly neighborly position

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Uses Software

• GAP
• SCIP
• Zimpl
• GLPK

Cites Work

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• SCIP: solving constraint integer programs
• Bounds on the cardinalities of families of nearly neighborly quadrilaterals
• Nearly-neighborly families of tetrahedra and the decomposition of some multigraphs
• Bounds of neighborly families of convex polytopes
• Neighborly families of \(2^ k\) k-simplices in \(E^ k\).
• Matchings and covers in hypergraphs
• On neighborly families of convex bodies
• No nine neighborly tetrahedra exist
• A Conjecture Concerning Neighboring Tetrahedra
• How Does a Complete Graph Split into Bipartite Graphs and How are Neighborly Cubes Arranged?
• On the Addressing Problem for Loop Switching

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