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IPL
2010
115views more  IPL 2010»
13 years 6 months ago
Hardness and approximation of minimum distortion embeddings
We show that the problem of computing a minimum distortion embedding of a given graph into a path remains NP-hard when the input graph is restricted to a bipartite, cobipartite, o...
Pinar Heggernes, Daniel Meister
JGAA
2000
179views more  JGAA 2000»
13 years 7 months ago
Approximation Algorithms for Some Graph Partitioning Problems
This paper considers problems of the following type: given an edgeweighted k-colored input graph with maximum color class size c, find a minimum or maximum c-way cut such that eac...
George He, Jiping Liu, Cheng Zhao
CORR
2010
Springer
162views Education» more  CORR 2010»
13 years 4 months ago
Cross-Composition: A New Technique for Kernelization Lower Bounds
We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance o...
Hans L. Bodlaender, Bart M. P. Jansen, Stefan Krat...
DAM
2010
81views more  DAM 2010»
13 years 7 months ago
The k-in-a-tree problem for graphs of girth at least k
For all integers k 3, we give an O(n4 ) time algorithm for the problem whose instance is a graph G of girth at least k together with k vertices and whose question is "Does G...
W. Liu, Nicolas Trotignon
FSTTCS
2004
Springer
14 years 1 months ago
Improved Approximation Algorithms for Maximum Graph Partitioning Problems
Abstract Abstract. In this paper we improve the analysis of approximation algorithms based on semidefinite programming for the maximum graph partitioning problems MAX-k-CUT, MAX-k...
Gerold Jäger, Anand Srivastav