60 citations
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math.CO2022★ 5 cited
Saturation for Small Antichains
Irina Đanković, Maria-Romina Ivan
For a given positive integer we say that a family of subsets of is -antichain saturated if it does not contain pairwise incomparable sets, but whenever we add to i…
math.CO2010
Triangle-Intersecting Families of Graphs
David Ellis, Yuval Filmus, Ehud Friedgut
A family of graphs F is said to be triangle-intersecting if for any two graphs G,H in F, the intersection of G and H contains a triangle. A conjecture of Simonovits and Sos from 19…
math.CO2010★ 1 cited
Long paths and cycles in subgraphs of the cube
Eoin Long
Let denote the graph of the -dimensional cube with vertex set in which two vertices are adjacent if they differ in exactly one coordinate. Suppose is a sub…