A string graph is the intersection graph of a set of curves in the plane. Each curve is represented by a vertex, and an edge between two vertices means that the corresponding curv...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic
We give a precise definition of "generic-case complexity" and show that for a very large class of finitely generated groups the classical decision problems of group theor...
Ilya Kapovich, Alexei G. Myasnikov, Paul Schupp, V...
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
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...
We consider the problem of online sublinear expander reconstruction and its relation to random walks in “noisy” expanders. Given access to an adjacency list representation of ...