Intersection problems in the \(q\)-ary cube

DOI10.1016/j.jcta.2016.02.006zbMath1334.05174OpenAlexW2290839775MaRDI QIDQ272323

Norihide Tokushige, Peter Frankl

Publication date: 20 April 2016

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2016.02.006

zbMATH Keywords

Erdős-Ko-Rado theorem\(q\)-ary hypercubeintersecting families of multisetsKruskal-Katona type problemlattice points in polytopes

Mathematics Subject Classification ID

Extremal set theory (05D05)

Related Items (4)

Vector sum-intersection theorems ⋮ Multiply union families in \(\mathbb{N}^n\) ⋮ Erdős-Ko-Rado theorems for set partitions with certain block size ⋮ Unnamed Item

Cites Work

• The complete intersection theorem for systems of finite sets
• Multiply union families in \(\mathbb{N}^n\)
• The exact bound in the Erdős-Ko-Rado theorem
• The diametric theorem in Hamming spaces---optimal anticodes
• The complete nontrivial-intersection theorem for systems of finite sets
• A discrete isodiametric result: the Erdős-Ko-Rado theorem for multisets
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Intersection theorems for systems of finite sets
• A generalization of a combinatorial theorem of macaulay
• An Erdős-Ko-Rado theorem for multisets
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