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ISAAC
2010
Springer
233views Algorithms» more  ISAAC 2010»
8 years 2 months ago
Computing Sparse Multiples of Polynomials
We consider the problem of finding a sparse multiple of a polynomial. Given f F[x] of degree d, and a desired sparsity t, our goal is to determine if there exists a multiple h F[...
Mark Giesbrecht, Daniel S. Roche, Hrushikesh Tilak
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
8 years 2 months ago
Deciding k-Colorability of P5-Free Graphs in Polynomial Time
The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
Chính T. Hoàng, Marcin Kaminski, Vad...
JCT
2000
103views more  JCT 2000»
8 years 4 months ago
A Combinatorial Algorithm Minimizing Submodular Functions in Strongly Polynomial Time
We give a strongly polynomial-time algorithm minimizing a submodular function f given by a value-giving oracle. The algorithm does not use the ellipsoid method or any other linear ...
Alexander Schrijver
ORL
2006
91views more  ORL 2006»
8 years 4 months ago
Resource augmentation in two-dimensional packing with orthogonal rotations
We consider the problem of packing two-dimensional rectangles into the minimum number of unit squares, when 90 rotations are allowed. Our main contribution is a polynomial-time al...
José R. Correa
JCT
2006
100views more  JCT 2006»
8 years 4 months ago
Approximating clique-width and branch-width
We construct a polynomial-time algorithm to approximate the branch-width of certain symmetric submodular functions, and give two applications. The first is to graph "clique-wi...
Sang-il Oum, Paul D. Seymour
FSTTCS
2008
Springer
8 years 5 months ago
STCON in Directed Unique-Path Graphs
ABSTRACT. We study the problem of space-efficient polynomial-time algorithms for directed stconnectivity (STCON). Given a directed graph G, and a pair of vertices s, t, the STCON ...
Sampath Kannan, Sanjeev Khanna, Sudeepa Roy
CRYPTO
2010
Springer
110views Cryptology» more  CRYPTO 2010»
8 years 5 months ago
An Efficient and Parallel Gaussian Sampler for Lattices
At the heart of many recent lattice-based cryptographic schemes is a polynomial-time algorithm that, given a `high-quality' basis, generates a lattice point according to a Ga...
Chris Peikert
SODA
1997
ACM
95views Algorithms» more  SODA 1997»
8 years 5 months ago
Randomly Sampling Molecules
We give a polynomial-time algorithm for the following problem: Given a degree sequence in which each degree is bounded from above by a constant, select, uniformly at random, an un...
Leslie Ann Goldberg, Mark Jerrum
SODA
2001
ACM
92views Algorithms» more  SODA 2001»
8 years 5 months ago
On universally easy classes for NP-complete problems
We explore the natural question of whether all NP-complete problems have a common restriction under which they are polynomially solvable. More precisely, we study what languages a...
Erik D. Demaine, Alejandro López-Ortiz, J. ...
ICMLA
2007
8 years 5 months ago
Learning bayesian networks consistent with the optimal branching
We introduce a polynomial-time algorithm to learn Bayesian networks whose structure is restricted to nodes with in-degree at most k and to edges consistent with the optimal branch...
Alexandra M. Carvalho, Arlindo L. Oliveira
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