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MOR
2000
90views more  MOR 2000»
13 years 7 months ago
A PTAS for Minimizing the Total Weighted Completion Time on Identical Parallel Machines
We consider the problem of scheduling a set of n jobs on m identical parallel machines so as to minimize the weighted sum of job completion times. This problem is NP-hard in the s...
Martin Skutella, Gerhard J. Woeginger
CORR
2008
Springer
104views Education» more  CORR 2008»
13 years 7 months ago
A General Framework for Sound and Complete Floyd-Hoare Logics
er presents an abstraction of Hoare logic to traced symmetric monoidal categories, a eral framework for the theory of systems. Our abstraction is based on a traced monoidal functor...
Rob Arthan, Ursula Martin, Erik A. Mathiesen, Paul...
DM
2010
117views more  DM 2010»
13 years 7 months ago
The distinguishing chromatic number of Cartesian products of two complete graphs
A labeling of a graph G is distinguishing if it is only preserved by the trivial automorphism of G. The distinguishing chromatic number of G is the smallest integer k such that G ...
Janja Jerebic, Sandi Klavzar
JDA
2007
83views more  JDA 2007»
13 years 7 months ago
Optimal leaf ordering of complete binary trees
Ordering a set of items so as to minimize the sum of distances between consecutive elements is a fundamental optimization problem occurring in many settings. While it is NP-hard i...
Ulrik Brandes
SIAMDM
1998
102views more  SIAMDM 1998»
13 years 7 months ago
A New Decoding Algorithm for Complete Decoding of Linear Block Codes
In this paper we present and describe an improved version of the Zero-Neighbors algorithm, which we call the Zero-Coverings algorithm. We also present a method for finding a small...
Yunghsiang S. Han