We study the design of capacitated survivable networks using directed p-cycles. A p-cycle is a cycle with at least three arcs, used for rerouting disrupted flow during edge failur...
In this paper we consider the problem of ^-partitioning the nodes of a graph with capacity restrictions on the sum of the node weights in each subset of the partition, and the obje...
Carlos Eduardo Ferreira, Alexander Martin, C. Carv...
Abstract— We prove that given a nearly log-concave distribution, in any partition of the space to two well separated sets, the measure of the points that do not belong to these s...
We give a O( log n)-approximation algorithm for sparsest cut, edge expansion, balanced separator, and graph conductance problems. This improves the O(log n)-approximation of Leig...