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Intersection properties of boxes. II: Extremal families

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Publication:1182651
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DOI10.1007/BF02772945zbMath0747.52006MaRDI QIDQ1182651

Jürgen Eckhoff

Publication date: 28 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

intersection graphboxesKalai familiesupper-bound theorem


Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items

The Upper‐Bound Theorem for Families of Boxes in ℝ d , Quantitative combinatorial geometry for concave functions, Helly-type problems



Cites Work

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  • Intersection patterns of convex sets
  • Separating subgraphs in k-trees: Cables and caterpillars
  • An upper-bound theorem for families of convex sets
  • Intersection properties of boxes. I: An upper-bound theorem
  • A characterization of Robert's inequality for boxicity
  • On intersections of interval graphs
  • Über kombinatorisch-geometrische Eigenschaften von Komplexen und Familien konvexer Mengen.
  • Extremal interval graphs
  • The maximum numbers of faces of a convex polytope
  • Properties and characterizations of k ‐trees
  • On the theory of graphs
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