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This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

Algebraic Geometry · Mathematics 2007-05-23 Yakov Varshavsky

This paper has been withdrawn by the author due to an error in Lemma 3, making the (bijective) proof of Theorem 4 and Corollary 5 invalid (symmetry of k-nonnesting and k-noncrossing set partitions).

Combinatorics · Mathematics 2007-10-09 Robert Parviainen

We consider single-machine scheduling problems that are natural generalizations or variations of the min-sum set cover problem and the min-sum vertex cover problem. For each of these problems, we give new approximation algorithms. Some of…

Data Structures and Algorithms · Computer Science 2020-01-22 Felix Happach , Andreas S. Schulz

This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.

Classical Analysis and ODEs · Mathematics 2007-07-24 Yong Kum Cho , Sunggeum Hong , Joonil Kim , Chan Woo Yang

An important objective in scheduling literature is to minimize the sum of weighted flow times. We are given a set of jobs where each job is characterized by a release time, a processing time, and a weight. Our goal is to find a preemptive…

Data Structures and Algorithms · Computer Science 2022-08-08 Alexander Armbruster , Lars Rohwedder , Andreas Wiese

In this paper we study a single machine scheduling problem with the objective of minimizing the sum of completion times. Each of the given jobs is either short or long. However the processing times are initially hidden to the algorithm, but…

Data Structures and Algorithms · Computer Science 2021-05-06 Fanny Dufossé , Christoph Dürr , Noël Nadal , Denis Trystram , Óscar C. Vásquez

This paper has been temporarily withdrawn for corrections.

q-alg · Mathematics 2008-02-03 S. M. Sergeev , V. V. Bazhanov , V. V. Mangazeev

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

Probability · Mathematics 2008-09-15 Qingyang Guan

This paper has been withdrawn by the author due to an error.

General Mathematics · Mathematics 2008-04-29 Antonio Leon

Admin note: withdrawn by arXiv admin because of the use of a pseudonym, in violation of arXiv policy.

General Mathematics · Mathematics 2015-03-13 Asia Furones

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

Number Theory · Mathematics 2007-05-23 Tomohiro Yamada

This paper has been withdrawn by the author. This draft is withdrawn for its poor quality in english, unfortunately produced by the author when he was just starting his science route. Look at the ICML version instead:…

Machine Learning · Computer Science 2012-06-11 Yao HengShuai

There are several serious errors in this paper. I thought to have time to fix it, but it did not occur for years. So I withdraw this paper.

Representation Theory · Mathematics 2011-09-21 Syu Kato

This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.

Geometric Topology · Mathematics 2007-05-23 Jonathan Williams

The paper considers scheduling on parallel machines under the constraint that some pairs of jobs cannot be processed concurrently. Each job has an associated weight, and all jobs have the same deadline. The objective is to maximise the…

Data Structures and Algorithms · Computer Science 2021-06-15 Yakov Zinder , Joanna Berlińska , Charlie Peter

This paper has been withdrawn by the author due to similarity to the author's other paper

General Physics · Physics 2009-04-13 Erez M. Yahalomi

This paper has been withdrawn by the author due to an error in the proof of Theorem 6.

Combinatorics · Mathematics 2012-06-22 Øystein J. Rødseth

In the problem called single resource constraint scheduling, we are given $m$ identical machines and a set of jobs, each needing one machine to be processed as well as a share of a limited renewable resource $R$. A schedule of these jobs is…

Data Structures and Algorithms · Computer Science 2021-07-06 Klaus Jansen , Malin Rau

This paper has been withdrawn due to a photometric calibration error.

Astrophysics · Physics 2011-11-10 Jae-Woo Lee , Bruce W. Carney , Haw Cheng

withdrawn by the authors because of an error.

Quantum Physics · Physics 2007-08-28 Y. -J. Han , L. -M. Duan
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