Determining if a solution is optimal or near optimal is fundamental in optimization theory, algorithms, and computation. For instance, Karush-Kuhn-Tucker conditions provide necessa...
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs (demands) s1t1, s2t2, . . ., sktk, the goal is to maximize the number ...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
In this paper we introduce a new general framework for set covering problems, based on the combination of randomized rounding of the (near-)optimal solution of the Linear Programm...
A conic integer program is an integer programming problem with conic constraints. Conic integer programming has important applications in finance, engineering, statistical learnin...
Given a network and a set of connection requests on it, we consider the maximum edge-disjoint paths and related generalizations and routing problems that arise in assigning paths f...