The standard parameterization of the VERTEX COVER problem (Given an undirected graph G and k ∈ N as input, does G have a vertex cover of size at most k?) has the solution size k...
Szemer´edi’s Regularity Lemma [22, 23] is one of the most powerful tools in combinatorics. It asserts that all large graphs G admit a bounded partition of E(G), most classes of...
Many statistical physics models are defined on an infinite lattice by taking appropriate limits of finite lattice regions, where a key consideration is how the boundaries are d...
The group testing problem consists of determining a sparse subset of a set of items that are “defective” based on a set of possibly noisy tests, and arises in areas such as me...
A stochastic probing problem consists of a set of elements whose values are independent random variables. The algorithm knows the distributions of these variables, but not the act...
In this paper we prove that the mixing time of a broad class of evolutionary dynamics in finite, unstructured populations is roughly logarithmic in the size of the state space. A...
Ioannis Panageas, Piyush Srivastava, Nisheeth K. V...
We show how to solve all-pairs shortest paths on n nodes in deterministic n3/2Ω( √ logn) time, and how to count the pairs of orthogonal vectors among n 0-1 vectors in d = clog...