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MOC
2010
13 years 2 months ago
The number field sieve for integers of low weight
We define the weight of an integer N to be the smallest w such that N can be represented as w i=1 i2ci , with 1,..., w{1,-1}. Since arithmetic modulo a prime of low weight is parti...
Oliver Schirokauer
CORR
2006
Springer
164views Education» more  CORR 2006»
13 years 7 months ago
Approximation Algorithms for Restricted Cycle Covers Based on Cycle Decompositions
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set ...
Bodo Manthey
SPAA
1999
ACM
14 years 3 days ago
Time-Constrained Scheduling of Weighted Packets on Trees and Meshes
The time-constrained packet routing problem is to schedule a set of packets to be transmitted through a multinode network, where every packet has a source and a destination (as in ...
Micah Adler, Sanjeev Khanna, Rajmohan Rajaraman, A...
ICALP
2001
Springer
14 years 8 days ago
Approximating the Minimum Spanning Tree Weight in Sublinear Time
We present a probabilistic algorithm that, given a connected graph G (represented by adjacency lists) of average degree d, with edge weights in the set {1, . . . , w}, and given a ...
Bernard Chazelle, Ronitt Rubinfeld, Luca Trevisan
SODA
2012
ACM
173views Algorithms» more  SODA 2012»
11 years 10 months ago
Resource augmentation for weighted flow-time explained by dual fitting
We propose a general dual-fitting technique for analyzing online scheduling algorithms in the unrelated machines setting where the objective function involves weighted flow-time...
S. Anand 0002, Naveen Garg, Amit Kumar