The complexity of bottleneck labeled graph problems

Refael Hassin; Jérôme Monnot; Danny Segev

doi:10.1007/978-3-540-74839-7_31

The complexity of bottleneck labeled graph problems

Refael Hassin^*, Jérôme Monnot, Danny Segev

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

We present hardness results, approximation heuristics, and exact algorithms for bottleneck labeled optimization problems arising in the context of graph theory. This long-established model partitions the set of edges into classes, each of which is identified by a unique color. The generic objective is to construct a subgraph of prescribed structure (such as that of being an s-t path, a spanning tree, or a perfect matching) while trying to avoid over-picking or under-picking edges from any given color.

Original language	English
Title of host publication	Graph-Theoretic Concepts in Computer Science - 33rd International Workshop, WG 2007, Revised Papers
Publisher	Springer Verlag
Pages	328-340
Number of pages	13
ISBN (Print)	3540748385, 9783540748380
DOIs	https://doi.org/10.1007/978-3-540-74839-7_31
State	Published - 2007
Event	33rd International Conference Workshop on Graph-Theoretic Concepts in Computer Science, WG 2007 - Dornburg, Germany Duration: 21 Jun 2007 → 23 Jun 2007

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	4769 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	33rd International Conference Workshop on Graph-Theoretic Concepts in Computer Science, WG 2007
Country/Territory	Germany
City	Dornburg
Period	21/06/07 → 23/06/07

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10.1007/978-3-540-74839-7_31

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Hassin, R., Monnot, J., & Segev, D. (2007). The complexity of bottleneck labeled graph problems. In Graph-Theoretic Concepts in Computer Science - 33rd International Workshop, WG 2007, Revised Papers (pp. 328-340). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4769 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-540-74839-7_31

Hassin, Refael ; Monnot, Jérôme ; Segev, Danny. / The complexity of bottleneck labeled graph problems. Graph-Theoretic Concepts in Computer Science - 33rd International Workshop, WG 2007, Revised Papers. Springer Verlag, 2007. pp. 328-340 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "We present hardness results, approximation heuristics, and exact algorithms for bottleneck labeled optimization problems arising in the context of graph theory. This long-established model partitions the set of edges into classes, each of which is identified by a unique color. The generic objective is to construct a subgraph of prescribed structure (such as that of being an s-t path, a spanning tree, or a perfect matching) while trying to avoid over-picking or under-picking edges from any given color.",

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doi = "10.1007/978-3-540-74839-7_31",

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Hassin, R, Monnot, J & Segev, D 2007, The complexity of bottleneck labeled graph problems. in Graph-Theoretic Concepts in Computer Science - 33rd International Workshop, WG 2007, Revised Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4769 LNCS, Springer Verlag, pp. 328-340, 33rd International Conference Workshop on Graph-Theoretic Concepts in Computer Science, WG 2007, Dornburg, Germany, 21/06/07. https://doi.org/10.1007/978-3-540-74839-7_31

The complexity of bottleneck labeled graph problems. / Hassin, Refael; Monnot, Jérôme; Segev, Danny.

Graph-Theoretic Concepts in Computer Science - 33rd International Workshop, WG 2007, Revised Papers. Springer Verlag, 2007. p. 328-340 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4769 LNCS).

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

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AB - We present hardness results, approximation heuristics, and exact algorithms for bottleneck labeled optimization problems arising in the context of graph theory. This long-established model partitions the set of edges into classes, each of which is identified by a unique color. The generic objective is to construct a subgraph of prescribed structure (such as that of being an s-t path, a spanning tree, or a perfect matching) while trying to avoid over-picking or under-picking edges from any given color.

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Hassin R, Monnot J, Segev D. The complexity of bottleneck labeled graph problems. In Graph-Theoretic Concepts in Computer Science - 33rd International Workshop, WG 2007, Revised Papers. Springer Verlag. 2007. p. 328-340. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-74839-7_31

The complexity of bottleneck labeled graph problems

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