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» The edge disjoint paths problem in Eulerian graphs and $4$-e...
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SPAA
2003
ACM
13 years 11 months ago
Short length menger's theorem and reliable optical routing
In the minimum path coloring problem, we are given a graph and a set of pairs of vertices of the graph and we are asked to connect the pairs by colored paths in such a way that pa...
Amitabha Bagchi, Amitabh Chaudhary, Petr Kolman
COCOON
2011
Springer
12 years 5 months ago
Finding Paths with Minimum Shared Edges
Motivated by a security problem in geographic information systems, we study the following graph theoretical problem: given a graph G, two special nodes s and t in G, and a number k...
Masoud T. Omran, Jörg-Rüdiger Sack, Hami...
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
13 years 7 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
NETWORKS
2007
13 years 5 months ago
Vertex disjoint routings of cycles over tori
We study the problem of designing a survivable WDM network based on covering the communication requests with subnetworks that are protected independently from each other. We consi...
Jean-Claude Bermond, Min-Li Yu
DAM
2008
84views more  DAM 2008»
13 years 5 months ago
Edge-splittings preserving local edge-connectivity of graphs
Let G = (V + s, E) be a 2-edge-connected graph with a designated vertex s. A pair of edges rs, st is called admissible if splitting off these edges (replacing rs and st by rt) pre...
Zoltán Szigeti