The soundness error of a PCP verifier is the probability (usually denoted ) that the verifier accepts an incorrect input. We are interested in the smallest possible values of for...
Two long-open problems have been solved: (1) every sufficiently large planar point set in general position contains the vertices of an empty hexagon; (2) every finite collection o...
We examine the classic on-line bipartite matching problem studied by Karp, Vazirani, and Vazirani [8] and provide a simple proof of their result that the Ranking algorithm for thi...