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CORR
2010
Springer
133views Education» more  CORR 2010»
15 years 6 months ago
Santa Claus Schedules Jobs on Unrelated Machines
One of the classic results in scheduling theory is the 2-approximation algorithm by Lenstra, Shmoys, and Tardos for the problem of scheduling jobs to minimize makespan on unrelate...
Ola Svensson
CORR
2008
Springer
77views Education» more  CORR 2008»
15 years 6 months ago
Principal Graphs and Manifolds
In many physical statistical, biological and other investigations it is desirable to approximate a system of points by objects of lower dimension and/or complexity. For this purpo...
Alexander N. Gorban, Andrei Yu. Zinovyev
CORR
2008
Springer
147views Education» more  CORR 2008»
15 years 6 months ago
C-K-R Partitions of Sparse Graphs
We present fast algorithms for constructing probabilistic embeddings and approximate distance oracles in sparse graphs. The main ingredient is a fast algorithm for sampling the pr...
Manor Mendel, Chaya Schwob
ALGORITHMICA
2006
161views more  ALGORITHMICA 2006»
15 years 6 months ago
The Expected Size of the Rule k Dominating Set
Dai, Li, and Wu proposed Rule k, a localized approximation algorithm that attempts to find a small connected dominating set in a graph. In this paper we consider the "average...
Jennie C. Hansen, Eric Schmutz, Li Sheng
CORR
2006
Springer
90views Education» more  CORR 2006»
15 years 6 months ago
The Snowblower Problem
Abstract: We introduce the snowblower problem (SBP), a new optimization problem that is closely related to milling problems and to some material-handling problems. The objective in...
Esther M. Arkin, Michael A. Bender, Joseph S. B. M...