The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...
Starting with Kilian (STOC ‘92), several works have shown how to use probabilistically checkable proofs (PCPs) and cryptographic primitives such as collision-resistant hashing to...
The paper concerns graph spanners that are resistant to vertex or edge failures. Given a weighted undirected n-vertex graph G = (V, E) and an integer k 1, the subgraph H = (V, E ...
Shiri Chechik, Michael Langberg, David Peleg, Liam...
Let h > w > 0 be two fixed integers. Let H be a random hypergraph whose hyperedges are uniformly of size h. To w-orient a hyperedge, we assign exactly w of its vertices posi...
A system of linear equations in p unknowns Mx = b is said to have the removal property if every set S ⊆ {1, . . . , n} which contains o(np− ) solutions of Mx = b can be turned...