Name
Abstract | ||
|---|---|---|
Bárány, Katchalski and Pach (Proc Am Math Soc 86(1):109–114, ) (see also Bárány et al., Am Math Mon 91(6):362–365, ) proved the following quantitative form of Helly’s theorem. If the intersection of a family of convex sets in is of volume one, then the intersection of some subfamily of at most 2 members is of volume at most some constant (). In Bárány et al. (Am Math Mon 91(6):362–365, ), the bound was proved and was conjectured. We confirm it. |
Year | DOI | Venue |
|---|---|---|
2016 | https://doi.org/10.1007/s00454-015-9753-3 | Discrete & Computational Geometry |
Keywords | Field | DocType |
Helly’s theorem,Quantitative Helly theorem,Intersection of convex sets,Dvoretzky–Rogers lemma,John’s ellipsoid,Volume,52A35 | Topology,Discrete mathematics,Combinatorics,Helly's theorem,Regular polygon,Conjecture,Mathematics | Journal |
Volume | Issue | ISSN |
55 | 1 | 0179-5376 |
Citations | PageRank | References |
2 | 0.51 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Marton Naszodi | 1 | 21 | 7.87 |