arXiv (All)
open access
Linear crossing families via dual levels
Building on the work of Pach, Rubin, and Tardos, we prove that every set of $n\ge2$ points in the real plane with no three collinear contains at least $cn$ pairwise crossing segments with distinct endpoints, for an absolute constant $c>0$.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Ehrhart reciprocity and forced factors in three plane-partition enumerators#1122767
- The combinatorial Hopf algebra of signed graphs#926818
- The Uniformly 3-Homogeneous Subsets of PGL(2, q)#966056
- A non-trivial bound for 3AP-intersecting families#1013027
- Bourbaki degree of pairs of projective surfaces#1049696
Record · ID 1077378
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive