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» On Minimum Circular Arrangement
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SIAMCOMP
2011
12 years 8 months ago
Inapproximability Results for Maximum Edge Biclique, Minimum Linear Arrangement, and Sparsest Cut
We consider the Minimum Linear Arrangement problem and the (Uniform) Sparsest Cut problem. So far, these two notorious NP-hard graph problems have resisted all attempts to prove in...
Christoph Ambühl, Monaldo Mastrolilli, Ola Sv...
IPL
2007
70views more  IPL 2007»
13 years 5 months ago
An improved approximation ratio for the minimum linear arrangement problem
We observe that combining the techniques of Arora, Rao, and Vazirani, with the rounding algorithm of Rao and Richa yields an O( √ log n log log n)-approximation for the minimum-...
Uriel Feige, James R. Lee
DCG
2006
96views more  DCG 2006»
13 years 5 months ago
k-Sets, Convex Quadrilaterals, and the Rectilinear Crossing Number of Kn
We use circular sequences to give an improved lower bound on the minimum number of ( k)
József Balogh, Gelasio Salazar
CORR
2006
Springer
144views Education» more  CORR 2006»
13 years 5 months ago
The minimum linear arrangement problem on proper interval graphs
We present a linear time algorithm for the minimum linear arrangement problem on proper interval graphs. The obtained ordering is a 4-approximation for general interval graphs. 1 ...
Ilya Safro