35 citations · 146 across the 49 of their papers we have counts for
6 papers · 1 filter
Resilience of the Rank of Random Matrices
Asaf Ferber, Kyle Luh, Gweneth McKinley
Let be an matrix of independent Rademacher () random variables. It is well known that if , then is of full rank with high probability. We show…
Co-degrees resilience for perfect matchings in random hypergraphs
Asaf Ferber, Lior Hirschfeld
In this paper we prove an optimal co-degrees resilience property for the binomial -uniform hypergraph model with respect to perfect matchings. That is, for a suffici…
Almost all Steiner triple systems are almost resolvable
Asaf Ferber, Matthew Kwan
We show that for any n divisible by 3, almost all order-n Steiner triple systems admit a decomposition of almost all their triples into disjoint perfect matchings (that is, almost…
On the counting problem in inverse Littlewood--Offord theory
Asaf Ferber, Vishesh Jain, Kyle Luh +1
Let be i.i.d. Rademacher random variables taking values with probability each. Given an integer vector , its c…
Uniformity-independent minimum degree conditions for perfect matchings in hypergraphs
Asaf Ferber, Vishesh Jain
In this note, we prove that there exists a universal constant such that for every and every , every -uniform hypergraph on vertice…
A quantitative Lovász criterion for Property B
Asaf Ferber, Asaf Shapira
A well known observation of Lovász is that if a hypergraph is not -colorable, then at least one pair of its edges intersect at a single vertex. %This very simple criterion turne…