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» Approximating Sparsest Cut in Graphs of Bounded Treewidth
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IWPEC
2009
Springer
14 years 2 months 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
CORR
2010
Springer
144views Education» more  CORR 2010»
13 years 5 months ago
Fast Approximation Algorithms for Cut-based Problems in Undirected Graphs
We present a general method of designing fast approximation algorithms for cut-based minimization problems in undirected graphs. In particular, we develop a technique that given a...
Aleksander Madry
ESA
2005
Springer
114views Algorithms» more  ESA 2005»
14 years 1 months ago
Unbalanced Graph Cuts
We introduce the Minimum-size bounded-capacity cut (MinSBCC) problem, in which we are given a graph with an identified source and seek to find a cut minimizing the number of node...
Ara Hayrapetyan, David Kempe, Martin Pál, Z...
SODA
2004
ACM
128views Algorithms» more  SODA 2004»
13 years 9 months ago
Equivalence of local treewidth and linear local treewidth and its algorithmic applications
We solve an open problem posed by Eppstein in 1995 [14, 15] and re-enforced by Grohe [16, 17] concerning locally bounded treewidth in minor-closed families of graphs. A graph has ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
STACS
1994
Springer
13 years 11 months ago
On the Complexity of the Maximum Cut Problem
The complexity of the simple maxcut problem is investigated for several special classes of graphs. It is shown that this problem is NP-complete when restricted to one of the follo...
Hans L. Bodlaender, Klaus Jansen