Line Transversals in Families of Connected Sets in the Plane

DOI10.1137/21M1408920zbMath1503.52007arXiv2103.05565OpenAlexW3134852721MaRDI QIDQ5058126

Daniel McGinnis, Shira Zerbib

Publication date: 2 December 2022

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

Full work available at URL: https://arxiv.org/abs/2103.05565

zbMATH Keywords

KKM theoremconvex geometrylinear transversals

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Euclidean analytic geometry (51N20)

Related Items (1)

Bounds on piercing and line-piercing numbers in families of convex sets in the plane

Cites Work

• Equilibrium in a discrete exchange economy with money
• Symmetric twins and common transversals
• A Gallai-type transversal problem in the plane
• Transversalenprobleme in der Ebene
• NEW RESULTS FOR T ( k )‐FAMILIES IN THE PLANE
• Geometric Transversal Theory: T(3)-Families in the Plane

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