We are given a directed network G = (V, A, u) with vertex set V , arc set A, a source vertex s V , a destination vertex t V , a finite capacity vector u = {uij}ijA, and a positi...
We observe that the classical maximum flow problem in any directed planar graph G can be reformulated as a parametric shortest path problem in the oriented dual graph G . This ref...
In the all-pairs bottleneck paths (APBP) problem (a.k.a. allpairs maximum capacity paths), one is given a directed graph with real non-negative capacities on its edges and is aske...
Virginia Vassilevska, Ryan Williams, Raphael Yuste...
A continuous maximum flow problem finds the largest t such that div v = t F(x, y) is possible with a capacity constraint (v1, v2) ≤ c(x, y). The dual problem finds a minimum ...
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