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COMBINATORICA
2010
13 years 2 months ago
Approximation algorithms via contraction decomposition
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
14 years 2 days ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito
SODA
2003
ACM
106views Algorithms» more  SODA 2003»
13 years 9 months ago
Maintaining all-pairs approximate shortest paths under deletion of edges
We present a hierarchical scheme for efficiently maintaining all-pairs approximate shortest-paths in undirected unweighted graphs under deletions of edges. An α-approximate short...
Surender Baswana, Ramesh Hariharan, Sandeep Sen
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
13 years 9 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
FSTTCS
2000
Springer
13 years 11 months ago
Coordinatized Kernels and Catalytic Reductions: An Improved FPT Algorithm for Max Leaf Spanning Tree and Other Problems
Abstract. We describe some new, simple and apparently general methods for designing FPT algorithms, and illustrate how these can be used to obtain a signi cantly improved FPT algor...
Michael R. Fellows, Catherine McCartin, Frances A....