Über eine Variante zum Hellyschen Satz
From MaRDI portal
Publication:769352
DOI10.1007/BF01898794zbMath0080.15404MaRDI QIDQ769352
Hugo Hadwiger, Hans E. Debrunner
Publication date: 1957
Published in: Archiv der Mathematik (Search for Journal in Brave)
Related Items
On piercing numbers of families satisfying the \((p,q)_{r}\) property, The \((p, q)\)-extremal problem and the fractional chromatic number of Kneser hypergraphs, Bounding the piercing number, A note on the colorful fractional Helly theorem, Helly-type theorems for the diameter, Improved bounds on the Hadwiger-Debrunner numbers, A partition theorem for collections of universal subcontinua, 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, The geometry and combinatorics of discrete line segment hypergraphs, Piercing convex sets, 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, Further consequences of the colorful Helly hypothesis, Attempting perfect hypergraphs, Bounds on piercing and line-piercing numbers in families of convex sets in the plane, Theorems of Carathéodory, Helly, and Tverberg without dimension, Piercing numbers for balanced and unbalanced families, Separability of convex sets and the concept of convexity on the surface of a convex body, Berge's theorem, fractional Helly, and art galleries, Unnamed Item, Helly’s theorem: New variations and applications, Nerves, minors, and piercing numbers, On weak \(\epsilon\)-nets and the Radon number, The \((p, q)\) property in families of \(d\)-intervals and \(d\)-trees, Quantitative fractional Helly and \((p,q)\)-theorems, Colourful and fractional \((p,q)\)-theorems, Piercing convex sets and the Hadwiger-Debrunner \((p,q)\)-problem, On Wegner's inequality for axis-parallel rectangles, Quantitative \((p, q)\) theorems in combinatorial geometry, Unnamed Item, From a $(p,2)$-Theorem to a Tight $(p,q)$-Theorem, About the piercing number of a family of intervals, A variant of the Hadwiger-Debrunner \((p,q)\)-problem in the plane, Über eine kombinatorisch-geometrische Frage von Hadwiger und Debrunner, A new lower bound on Hadwiger-Debrunner numbers in the plane, Properties of systems of \(n\)-dimensional convex sets in finite-dimensional linear spaces, The (2,2) and (4,3) Properties in Families of Fat Sets in the Plane, A coloring problem, Further Consequences of the Colorful Helly Hypothesis, Piercing numbers in approval voting, Helly-type problems, About an Erdős-Grünbaum conjecture concerning piercing of non-bounded convex sets, Transversal numbers for hypergraphs arising in geometry