Algorithmic Chernoff-Hoeffding inequalities in integer programming
Random Structures & Algorithms
Scheduling computer and manufacturing processes
Scheduling computer and manufacturing processes
Fractional and integral colourings
Mathematical Programming: Series A and B
Tight approximations for resource constrained scheduling and bin packing
Proceedings of the 4th Twente workshop on Graphs and combinatorial optimization
Zero knowledge and the chromatic number
Journal of Computer and System Sciences - Eleventh annual conference on structure and complexity 1996
On the hardness of approximating minimization problems
Journal of the ACM (JACM)
On multi-dimensional packing problems
Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
Analysis of Several Task-Scheduling Algorithms for a Model of Multiprogramming Computer Systems
Journal of the ACM (JACM)
Polynomial-time approximation schemes for geometric graphs
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
Journal of Combinatorial Theory Series B
On Preemptive Resource Constrained Scheduling: Polynomial-Time Approximation Schemes
Proceedings of the 9th International IPCO Conference on Integer Programming and Combinatorial Optimization
JCDCG '98 Revised Papers from the Japanese Conference on Discrete and Computational Geometry
Scheduling Malleable Parallel Tasks: An Asymptotic Fully Polynomial-Time Approximation Scheme
ESA '02 Proceedings of the 10th Annual European Symposium on Algorithms
The round-up property of the fractional chromatic number for proper circular arc graphs
Journal of Graph Theory
On the complexity of bandwidth allocation in radio networks
Theoretical Computer Science
Multiflows in multihop wireless networks
Proceedings of the tenth ACM international symposium on Mobile ad hoc networking and computing
ADHOC-NOW'07 Proceedings of the 6th international conference on Ad-hoc, mobile and wireless networks
An investigation on the nature of wireless scheduling
INFOCOM'10 Proceedings of the 29th conference on Information communications
Hi-index | 5.23 |
In this paper we show that approximation algorithms for the weighted independent set and s-dimensional knapsack problem with ratio a can be turned into approximation algorithms with the same ratio for fractional weighted graph coloring and preemptive resource constrained scheduling. In order to obtain these results, we generalize known results by Grötschel, Lovasz and Schrijver on separation, non-emptiness test, Optimization and violation in the direction of approximability.