On the number of triangles in simple arrangements of pseudolines in the real projective plane

DOI10.1016/0012-365X(86)90016-6zbMath0608.51003MaRDI QIDQ1085792

Jean-Pierre Roudneff

Publication date: 1986

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

simple arrangements of pseudolines in real projective planes

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Designs and configurations (05B99) Linear incidence geometry (51A99) Polytopes and polyhedra (52Bxx)

Related Items

Oriented matroids and complete-graph embeddings on surfaces, Arrangements of lines and pseudolines without adjacent triangles, The odd-even invariant and Hamiltonian circuits in tope graphs, Intersection patterns of planar sets, Minimal representations of order types by geometric graphs, Nonrealizability proofs in computational geometry, Unnamed Item, Straight line arrangements in the real projective plane, On the triangles in certain types of line arrangements, Arrangements of oriented hyperplanes

Cites Work

• Oriented matroids
• Orientability of matroids
• A maximal 2-arrangement of sixteen lines in the projective plane
• Triangles in arrangements of lines
• Triangles in arrangements of lines
• Unnamed Item
• Unnamed Item