4 citations · 5 across the 13 of their papers we have counts for
14 papers
On intersecting families of subgraphs of perfect matchings
Melissa M. Fuentes, Vikram Kamat
The seminal Erdős--Ko--Rado (EKR) theorem states that if is a family of -subsets of an -element set for such that every pair of subsets in $\mat…
An Erdős-Ko-Rado Theorem for unions of length 2 paths
Carl Feghali, Glenn Hurlbert, Vikram Kamat
A family of sets is intersecting if any two sets in the family intersect. Given a graph and an integer , let denote the family of independent se…
Erdős-Ko-Rado theorems on the weak Bruhat lattice}
Susanna Fishel, Glenn Hurlbert, Vikram Kamat +1
Let be a lattice. For we say that is -{\it intersecting} if for all . Th…
Chvátal's conjecture for downsets of small rank
Eva Czabarka, Glenn Hurlbert, Vikram Kamat
A starting point in the investigation of intersecting systems of subsets of a finite set is the elementary observation that the size of a family of pairwise intersecting subsets of…
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…
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…