Given an undirected graph with edge lengths and a subset of nodes (called the terminals), the multiway cut (also called the multi-terminal cut) problem asks for a subset of edges,...
Motivated by the problem of querying and communicating bidders’ valuations in combinatorial auctions, we study how well different classes of set functions can be sketched. More...
Ashwinkumar Badanidiyuru, Shahar Dobzinski, Hu Fu,...
We give a constant factor approximation algorithm for the following generalization of the k-median problem. We are given a set of clients and facilities in a metric space. Each fa...
Every finite field has many multiplicative generators. However, finding one in polynomial time is an important open problem. In fact, even finding elements of high order has n...
A Nash Equilibrium is a joint strategy profile at which each agent myopically plays a best response to the other agents’ strategies, ignoring the possibility that deviating fro...
Amos Fiat, Elias Koutsoupias, Katrina Ligett, Yish...
In this paper we prove lower bounds on randomized multiparty communication complexity, both in the blackboard model (where each message is written on a blackboard for all players ...
Motivated by online ad allocation, we study the problem of simultaneous approximations for the adversarial and stochastic online budgeted allocation problem. This problem consists...
Vahab S. Mirrokni, Shayan Oveis Gharan, Morteza Za...
We initiate the study of graph sketching, i.e., algorithms that use a limited number of linear measurements of a graph to determine the properties of the graph. While a graph on n...
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
We investigate fast algorithms for changing between the standard basis and an orthogonal basis of idempotents for M¨obius algebras of finite lattices. We show that every lattice...