Ramsey-type theorems for lines in 3-space

We prove geometric Ramsey-type statements on collections of lines in 3-space. These statements give guarantees on the size of a clique or an independent set in (hyper)graphs induced by incidence relations between lines, points, and reguli in 3-space. Among other things, we prove that: (1) The inters...

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Bibliographic Details
Main Authors: Jean Cardinal, Michael S. Payne, Noam Solomon
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2016-09-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/1367/pdf