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» Maximum Flows and Parametric Shortest Paths in Planar Graphs
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APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
13 years 6 months ago
Maximum Flows on Disjoint Paths
We consider the question: What is the maximum flow achievable in a network if the flow must be decomposable into a collection of edgedisjoint paths? Equivalently, we wish to find a...
Guyslain Naves, Nicolas Sonnerat, Adrian Vetta
STOC
2006
ACM
174views Algorithms» more  STOC 2006»
14 years 5 months ago
Edge-disjoint paths in Planar graphs with constant congestion
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs s1t1, s2t2, . . ., sktk, the goal is to maximize the number of pairs t...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
13 years 10 months ago
On the Geometric Dilation of Finite Point Sets
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
ESOP
2006
Springer
13 years 9 months ago
Path Optimization in Programs and Its Application to Debugging
We present and solve a path optimization problem on programs. Given a set of program nodes, called critical nodes, we find a shortest path through the program's control flow g...
Akash Lal, Junghee Lim, Marina Polishchuk, Ben Lib...
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
13 years 5 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid