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math.CO2016
On intersecting families of independent sets in trees
Glenn Hurlbert, Vikram Kamat
A family of sets is intersecting if every pair of its sets intersect. A star is a family with some element (a center) in each of its sets. The classical 1961 result of Erdős, Ko, a…
math.CO2016
New injective proofs of the Erdős--Ko--Rado and Hilton--Milner theorems
Glenn Hurlbert, Vikram Kamat
A set system F is intersecting if any pair of sets in F have a nonempty intersection. A fundamental theorem of Erdős, Ko and Rado states that if F is an intersecting family of r-su…