Topological configurations \((n_4)\) exist for all \(n\geq 17\)

DOI10.1016/j.ejc.2008.12.008zbMath1205.52017OpenAlexW2055522398MaRDI QIDQ1041596

Lars Schewe, Jürgen Bokowski, Branko Grünbaum

Publication date: 3 December 2009

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2008.12.008

zbMATH Keywords

configurationreal projective planepseudoline

Mathematics Subject Classification ID

Other designs, configurations (05B30) Combinatorial structures in finite projective spaces (51E20) Planar arrangements of lines and pseudolines (aspects of discrete geometry) (52C30)

Related Items (7)

Polycyclic movable 4-configurations are plentiful ⋮ Nonrealizable minimal vertex triangulations of surfaces: showing nonrealizability using oriented matroids and satisfiability solvers ⋮ Enumerating topological \((n_k)\)-configurations ⋮ On line and pseudoline configurations and ball-quotients ⋮ Constructing highly incident configurations ⋮ On topological and geometric \((19_4)\) configurations ⋮ Musings on an example of Danzer's

Uses Software

• MiniSat
• nauty
• Zchaff2004
• OEIS
• GENREG

Cites Work

• Tactical decompositions and some configurations \(v_4\)
• Counting symmetric configurations \(v_3\)
• Fast generation of regular graphs and construction of cages
• Oriented Matroids
• Theory and Applications of Satisfiability Testing
• Theory and Applications of Satisfiability Testing
• The Real Configuration (21₄ )
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