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SIAMDM
2008
139views more  SIAMDM 2008»
13 years 4 months ago
Approximate Integer Decompositions for Undirected Network Design Problems
A well-known theorem of Nash-Williams and Tutte gives a necessary and sufficient condition for the existence of k edge-disjoint spanning trees in an undirected graph. A corollary o...
Chandra Chekuri, F. Bruce Shepherd
MEMICS
2010
12 years 11 months ago
A Simple Topology Preserving Max-Flow Algorithm for Graph Cut Based Image Segmentation
In this paper, we propose a modification to the Boykov-Kolmogorov maximum flow algorithm [2] in order to make the algorithm preserve the topology of an initial interface. This alg...
Ondrej Danek, Martin Maska
SODA
2012
ACM
262views Algorithms» more  SODA 2012»
11 years 7 months ago
A polynomial-time approximation scheme for planar multiway cut
Given an undirected graph with edge lengths and a subset of nodes (called the terminals), the multiway cut (also called the multi-terminal cut) problem asks for a subset of edges,...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi, ...
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
14 years 5 months ago
Hardness of the undirected congestion minimization problem
We show that there is no log log M log log log M -approximation for the undirected congestion minimization problem unless NP ZPTIME(npolylog n ), where M is the size of the grap...
Matthew Andrews, Lisa Zhang
SIAMCOMP
2010
133views more  SIAMCOMP 2010»
13 years 3 months ago
Faster Algorithms for All-pairs Approximate Shortest Paths in Undirected Graphs
Let G = (V, E) be a weighted undirected graph having non-negative edge weights. An estimate ˆδ(u, v) of the actual distance δ(u, v) between u, v ∈ V is said to be of stretch t...
Surender Baswana, Telikepalli Kavitha