Intersecting Families in Symmetric Unions of Direct Products of Set Families
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Publication:4602860
DOI10.1137/140978387zbMath1379.05117OpenAlexW2786394139MaRDI QIDQ4602860
Publication date: 7 February 2018
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/140978387
Combinatorics of partially ordered sets (06A07) Extremal set theory (05D05) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Graph operations (line graphs, products, etc.) (05C76)
Related Items (1)
Intersecting families in \(\begin{pmatrix}[m\\ \ell\end{pmatrix}\cup\begin{pmatrix}[n]\\ k\end{pmatrix}\)]
Cites Work
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- Structure of independent sets in direct products of some vertex-transitive graphs
- Independent sets in direct products of vertex-transitive graphs
- Cross-intersecting families and primitivity of symmetric systems
- Intersecting families in a subset of Boolean lattices
- Intersecting families in the alternating group and direct product of symmetric groups
- Homomorphisms of 3-chromatic graphs
- The intersection theorem for direct products
- Graph products and the chromatic difference sequence of vertex-transitive graphs
- Independence and coloring properties of direct products of some vertex-transitive graphs
- A simple proof of the Erdős-Chao Ko-Rado theorem
- An Erdös-Ko-Rado theorem for direct products
- Primitivity and independent sets in direct products of vertex-transitive graphs
- Erdös–Ko–Rado Theorem—22 Years Later
- Projectivity and independent sets in powers of graphs
- INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
- Independent sets of maximal size in tensor powers of vertex-transitive graphs
- Intersecting families of permutations
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