The order dimension of two levels of the Boolean lattices

DOI10.1007/BF01462226zbMath0810.06004OpenAlexW2060891088MaRDI QIDQ1337568

Zoltan Fueredi

Publication date: 10 November 1994

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01462226

zbMATH Keywords

dimensionBoolean latticepartially ordered setsuborder

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Combinatorics of partially ordered sets (06A07) Extremal set theory (05D05)

Related Items

The dimension of interior levels of the Boolean lattice ⋮ On the boxicity of Kneser graphs and complements of line graphs ⋮ On difference graphs and the local dimension of posets ⋮ On multipartite posets ⋮ Boolean layer cakes ⋮ The dimension of two levels of the Boolean lattice ⋮ The fractional dimension of subsets of Boolean lattices and cartesian products

Cites Work

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• Kneser's conjecture, chromatic number, and homotopy
• Intersection patterns of convex sets
• Non-trivial intersecting families
• On the dimensions of ordered sets of bounded degree
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• A short proof of Kneser's conjecture
• The dimension of suborders of the Boolean lattice
• Cross-intersecting families of finite sets
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• On the Pebbling Threshold Spectrum
• On generalized graphs
• SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Minimal scrambling sets of simple orders
• Concerning a Certain Set of Arrangements

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