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» Practical polynomial factoring in polynomial time
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ICALP
2009
Springer
14 years 7 months ago
Factoring Groups Efficiently
We give a polynomial time algorithm that computes a decomposition of a finite group G given in the form of its multiplication table. That is, given G, the algorithm outputs two su...
Neeraj Kayal, Timur Nezhmetdinov
ADG
1998
Springer
127views Mathematics» more  ADG 1998»
13 years 11 months ago
Decomposing Algebraic Varieties
Abstract. This paper describes a complete implementation of Ritt-Wu's characteristic sets method in the Maple system. The implemented algorithms include those with variants fo...
Dongming Wang
CORR
2002
Springer
144views Education» more  CORR 2002»
13 years 7 months ago
Polynomial Time Data Reduction for Dominating Set
Dealing with the NP-complete Dominating Set problem on graphs, we demonstrate the power of data reduction by preprocessing from a theoretical as well as a practical side. In parti...
Jochen Alber, Michael R. Fellows, Rolf Niedermeier
JCO
2010
182views more  JCO 2010»
13 years 5 months ago
Polynomial time approximation schemes for minimum disk cover problems
The following planar minimum disk cover problem is considered in this paper: given a set D of n disks and a set P of m points in the Euclidean plane, where each disk covers a subse...
Chen Liao, Shiyan Hu
CPC
2006
92views more  CPC 2006»
13 years 7 months ago
Waiting for a Bat to Fly By (in Polynomial Time)
We observe returns of a simple random walk on a finite graph to a fixed node, and would like to infer properties of the graph, in particular properties of the spectrum of the trans...
Itai Benjamini, Gady Kozma, László L...