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APPROX
2006
Springer
162views Algorithms» more  APPROX 2006»
13 years 8 months ago
Approximating Precedence-Constrained Single Machine Scheduling by Coloring
Abstract. This paper investigates the relationship between the dimension theory of partial orders and the problem of scheduling precedenceconstrained jobs on a single machine to mi...
Christoph Ambühl, Monaldo Mastrolilli, Ola Sv...
ESA
2006
Springer
88views Algorithms» more  ESA 2006»
13 years 8 months ago
Single Machine Precedence Constrained Scheduling Is a Vertex Cover Problem
Christoph Ambühl, Monaldo Mastrolilli
IPCO
1998
152views Optimization» more  IPCO 1998»
13 years 5 months ago
Approximation Bounds for a General Class of Precedence Constrained Parallel Machine Scheduling Problems
Abstract. A well studied and difficult class of scheduling problems concerns parallel machines and precedence constraints. In order to model more realistic situations, we consider ...
Alix Munier, Maurice Queyranne, Andreas S. Schulz
ICALP
2011
Springer
12 years 8 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
DAM
2007
91views more  DAM 2007»
13 years 4 months ago
A note on the precedence-constrained class sequencing problem
We give a short proof of a result of Tovey [6] on the inapproximability of a scheduling problem known as precedence constrained class sequencing. In addition, we present an approxi...
José R. Correa, Samuel Fiorini, Nicol&aacut...