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FOCS
1996
IEEE
13 years 10 months ago
Path Coloring on the Mesh
In the minimum path coloring problem, we are given a list of pairs of vertices of a graph. We are asked to connect each pair by a colored path. Paths of the same color must be edg...
Yuval Rabani
ECCC
2007
147views more  ECCC 2007»
13 years 5 months ago
Inapproximability of edge-disjoint paths and low congestion routing on undirected graphs
In the undirected Edge-Disjoint Paths problem with Congestion (EDPwC), we are given an undirected graph with V nodes, a set of terminal pairs and an integer c. The objective is to...
Matthew Andrews, Julia Chuzhoy, Venkatesan Guruswa...
IWPEC
2009
Springer
14 years 17 days ago
Paths of Bounded Length and Their Cuts: Parameterized Complexity and Algorithms
We study the parameterized complexity of two families of problems: the bounded length disjoint paths problem and the bounded length cut problem. From Menger’s theorem both proble...
Petr A. Golovach, Dimitrios M. Thilikos
MP
2007
100views more  MP 2007»
13 years 5 months ago
Power optimization for connectivity problems
Given a graph with costs on the edges, the power of a node is the maximum cost of an edge leaving it, and the power of the graph is the sum of the powers of the nodes of this graph...
Mohammad Taghi Hajiaghayi, Guy Kortsarz, Vahab S. ...
SODA
2012
ACM
205views Algorithms» more  SODA 2012»
11 years 8 months ago
Approximate duality of multicommodity multiroute flows and cuts: single source case
Given an integer h, a graph G = (V, E) with arbitrary positive edge capacities and k pairs of vertices (s1, t1), (s2, t2), . . . , (sk, tk), called terminals, an h-route cut is a ...
Petr Kolman, Christian Scheideler