Arrangements of lines and pseudolines without adjacent triangles

DOI10.1016/0097-3165(89)90003-4zbMath0669.51017OpenAlexW2062348099MaRDI QIDQ1118814

Dragoslav Ljubić, Bernd Sturmfels, Jean-Pierre Roudneff

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0097-3165(89)90003-4

zbMATH Keywords

pseudoline arrangementsarrangements of lines

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Incidence structures embeddable into projective geometries (51A45) Line geometries and their generalizations (51M30)

Related Items

A special arrangement with minimal number of triangles, Minimal representations of order types by geometric graphs, Nonrealizability proofs in computational geometry, Minimal Representations of Order Types by Geometric Graphs, On the triangles in certain types of line arrangements

Cites Work

• Teilungen der Ebenen durch Geraden oder topologische Geraden
• Nonrealizability proofs in computational geometry
• On the number of triangles in simple arrangements of pseudolines in the real projective plane
• Arrangements of lines with a minimum number of triangles are simple
• An infinite family of minor-minimal nonrealizable 3-chirotopes
• Simplicial cells in arrangements and mutations of oriented matroids
• Proof of Grünbaum's conjecture on the stretchability of certain arrangements of pseudolines
• Oriented matroids
• On the coordinatization of oriented matroids
• Triangles in arrangements of lines
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