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COMBINATORICA
2010
13 years 3 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...
CORR
2008
Springer
96views Education» more  CORR 2008»
13 years 8 months ago
Tree-width of hypergraphs and surface duality
In Graph Minors III, Robertson and Seymour write:"It seems that the tree-width of a planar graph and the tree-width of its geometric dual are approximately equal -- indeed, w...
Frédéric Mazoit
IWPEC
2009
Springer
14 years 3 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
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
13 years 6 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer
SODA
2010
ACM
397views Algorithms» more  SODA 2010»
14 years 5 months ago
Improved Approximation Algorithms for the Minimum Latency Problem via Prize-Collecting Strolls
The minimum latency problem (MLP) is a well-studied variant of the traveling salesman problem (TSP). In the MLP, the server's goal is to minimize the average latency that the...
Aaron Archer, Anna Blasiak