We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
We exhibit an explicit function f : {0,1}n {0,1} that can be computed by a nondeterministic number-on-forehead protocol communicating O(logn) bits, but that requires n(1) bits of...
For every fixed 0, we give an algorithm that, given an n-vertex 3-uniform hypergraph containing an independent set of size n, finds an independent set of size n(2 ) . This improv...
In the field of robust optimization, the goal is to provide solutions to combinatorial problems that hedge against variations of the numerical parameters. This constitutes an effor...
Monaldo Mastrolilli, Nikolaus Mutsanas, Ola Svenss...
In this paper we will consider tight upper- and lower-bounds on the weight of the optimal matching for random point sets distributed among the leaves of a tree, as a function of it...