Multi-coloring trees

Magnús M. Halldórsson; Guy Kortsarz; Andrzej Proskurowski; Ravit Salman; Hadas Shachnai; Jan Arne Telle

doi:10.1007/3-540-48686-0_27

Multi-coloring trees

Magnús M. Halldórsson, Guy Kortsarz, Andrzej Proskurowski, Ravit Salman, Hadas Shachnai, Jan Arne Telle

Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Scheduling jobs with pairwise conflicts is modeled by the graph multi-coloring problem. It occurs in two versions: preemptive and non-preemptive. We study these problems on trees under the sum-of- completion-times objective. In particular, we give a quadratic algorithm for the non-preemptive case, and a faster algorithm in the case that all job lengths are short, while we present a polynomial-time approximation scheme for the preemptive case.

Original language	English
Title of host publication	Computing and Combinatorics - 5th Annual International Conference, COCOON 1999, Proceedings
Editors	Shin-ichi Nakano, Hideki Imai, D.T. Lee, Takeshi Tokuyama, Takao Asano
Publisher	Springer Verlag
Pages	271-280
Number of pages	10
ISBN (Print)	3540662006, 9783540662006
DOIs	https://doi.org/10.1007/3-540-48686-0_27
State	Published - 1999
Event	5th Annual International Conference on Computing and Combinatorics, COCOON 1999 - Tokyo, Japan Duration: 26 Jul 1999 → 28 Jul 1999

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	1627
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	5th Annual International Conference on Computing and Combinatorics, COCOON 1999
Country/Territory	Japan
City	Tokyo
Period	26/07/99 → 28/07/99

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1999.

Access to Document

10.1007/3-540-48686-0_27

Cite this

Halldórsson, M. M., Kortsarz, G., Proskurowski, A., Salman, R., Shachnai, H., & Telle, J. A. (1999). Multi-coloring trees. In S. Nakano, H. Imai, D. T. Lee, T. Tokuyama, & T. Asano (Eds.), Computing and Combinatorics - 5th Annual International Conference, COCOON 1999, Proceedings (pp. 271-280). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1627). Springer Verlag. https://doi.org/10.1007/3-540-48686-0_27

Halldórsson, Magnús M. ; Kortsarz, Guy ; Proskurowski, Andrzej et al. / Multi-coloring trees. Computing and Combinatorics - 5th Annual International Conference, COCOON 1999, Proceedings. editor / Shin-ichi Nakano ; Hideki Imai ; D.T. Lee ; Takeshi Tokuyama ; Takao Asano. Springer Verlag, 1999. pp. 271-280 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "Scheduling jobs with pairwise conflicts is modeled by the graph multi-coloring problem. It occurs in two versions: preemptive and non-preemptive. We study these problems on trees under the sum-of- completion-times objective. In particular, we give a quadratic algorithm for the non-preemptive case, and a faster algorithm in the case that all job lengths are short, while we present a polynomial-time approximation scheme for the preemptive case.",

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Halldórsson, MM, Kortsarz, G, Proskurowski, A, Salman, R, Shachnai, H & Telle, JA 1999, Multi-coloring trees. in S Nakano, H Imai, DT Lee, T Tokuyama & T Asano (eds), Computing and Combinatorics - 5th Annual International Conference, COCOON 1999, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1627, Springer Verlag, pp. 271-280, 5th Annual International Conference on Computing and Combinatorics, COCOON 1999, Tokyo, Japan, 26/07/99. https://doi.org/10.1007/3-540-48686-0_27

Multi-coloring trees. / Halldórsson, Magnús M.; Kortsarz, Guy; Proskurowski, Andrzej et al.
Computing and Combinatorics - 5th Annual International Conference, COCOON 1999, Proceedings. ed. / Shin-ichi Nakano; Hideki Imai; D.T. Lee; Takeshi Tokuyama; Takao Asano. Springer Verlag, 1999. p. 271-280 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1627).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - Scheduling jobs with pairwise conflicts is modeled by the graph multi-coloring problem. It occurs in two versions: preemptive and non-preemptive. We study these problems on trees under the sum-of- completion-times objective. In particular, we give a quadratic algorithm for the non-preemptive case, and a faster algorithm in the case that all job lengths are short, while we present a polynomial-time approximation scheme for the preemptive case.

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Halldórsson MM, Kortsarz G, Proskurowski A, Salman R, Shachnai H, Telle JA. Multi-coloring trees. In Nakano S, Imai H, Lee DT, Tokuyama T, Asano T, editors, Computing and Combinatorics - 5th Annual International Conference, COCOON 1999, Proceedings. Springer Verlag. 1999. p. 271-280. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-48686-0_27

Multi-coloring trees

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