Convex sets in the plane with three of every four meeting
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Publication:5955197
DOI10.1007/s004930100020zbMath0981.52001OpenAlexW2051814854MaRDI QIDQ5955197
András Gyárfás, Daniel J. Kleitman, Géza Tóth
Publication date: 13 February 2002
Published in: Combinatorica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s004930100020
Related Items (19)
On piercing numbers of families satisfying the \((p,q)_{r}\) property ⋮ Visibility representations of boxes in 2.5 dimensions ⋮ Improved bounds on the Hadwiger-Debrunner numbers ⋮ A family of convex sets in the plane satisfying the (4, 3)-property can be pierced by nine points ⋮ On optimal piercing of a square ⋮ A counterexample to a conjecture of Grünbaum on piercing convex sets in the plane ⋮ From a \((p, 2)\)-theorem to a tight \((p, q)\)-theorem ⋮ Piercing numbers for balanced and unbalanced families ⋮ Unnamed Item ⋮ Helly’s theorem: New variations and applications ⋮ Nerves, minors, and piercing numbers ⋮ On Wegner's inequality for axis-parallel rectangles ⋮ From a $(p,2)$-Theorem to a Tight $(p,q)$-Theorem ⋮ A new lower bound on Hadwiger-Debrunner numbers in the plane ⋮ The (2,2) and (4,3) Properties in Families of Fat Sets in the Plane ⋮ Piercing numbers in approval voting ⋮ On a problem by Dol'nikov ⋮ Helly-type problems ⋮ About an Erdős-Grünbaum conjecture concerning piercing of non-bounded convex sets
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