Approximation Algorithms for k-Connected Graph Factors

Bodo Manthey; Marten Waanders

doi:10.1007/978-3-319-28684-6_1

Approximation Algorithms for k-Connected Graph Factors

Bodo Manthey, Marten Waanders

Discrete Mathematics and Mathematical Programming

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

1 Citation (Scopus)

Abstract

Finding low-cost spanning subgraphs with given degree and connectivity requirements is a fundamental problem in the area of network design. We consider the problem of finding d-regular spanning subgraphs (or d-factors) of minimum weight with connectivity requirements. For the case of k-edge-connectedness, we present approximation algorithms that achieve constant approximation ratios for all d≥2⋅⌈k/2⌉. For the case of k-vertex-connectedness, we achieve constant approximation ratios for d≥2k−1. Our algorithms also work for arbitrary degree sequences if the minimum degree is at least 2⋅⌈k/2⌉ (for k-edge-connectivity) or 2k−1 (for k-vertex-connectivity).

Original language	Undefined
Title of host publication	Proceedings of the 13th Workshop on Approximation and Online Algorithms (WAOA 2015)
Editors	Laura Sanita, Martin Skutella
Place of Publication	London
Publisher	Springer
Pages	1-12
Number of pages	12
ISBN (Print)	978-3-319-28683-9
DOIs	https://doi.org/10.1007/978-3-319-28684-6_1
Publication status	Published - 2016
Event	13th Workshop on Approximation and Online Algorithms, WAOA 2015 - Patras, Greece Duration: 17 Sep 2015 → 18 Sep 2015 Conference number: 13 http://algo2015.upatras.gr/waoa/

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer Verlag
Volume	9499

Conference

Conference	13th Workshop on Approximation and Online Algorithms, WAOA 2015
Abbreviated title	WAOA 2015
Country/Territory	Greece
City	Patras
Period	17/09/15 → 18/09/15
Internet address	http://algo2015.upatras.gr/waoa/

Keywords

METIS-316815
IR-99710
EWI-25741

Access to Document

10.1007/978-3-319-28684-6_1

http://eprints.eemcs.utwente.nl/secure2/25741/01/WAOA2015_MantheyWaanders_ConnectedFactors.pdf

Cite this

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title = "Approximation Algorithms for k-Connected Graph Factors",

abstract = "Finding low-cost spanning subgraphs with given degree and connectivity requirements is a fundamental problem in the area of network design. We consider the problem of finding d-regular spanning subgraphs (or d-factors) of minimum weight with connectivity requirements. For the case of k-edge-connectedness, we present approximation algorithms that achieve constant approximation ratios for all d≥2⋅⌈k/2⌉. For the case of k-vertex-connectedness, we achieve constant approximation ratios for d≥2k−1. Our algorithms also work for arbitrary degree sequences if the minimum degree is at least 2⋅⌈k/2⌉ (for k-edge-connectivity) or 2k−1 (for k-vertex-connectivity).",

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series = "Lecture Notes in Computer Science",

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editor = "Laura Sanita and Martin Skutella",

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Manthey, B & Waanders, M 2016, Approximation Algorithms for k-Connected Graph Factors. in L Sanita & M Skutella (eds), Proceedings of the 13th Workshop on Approximation and Online Algorithms (WAOA 2015). Lecture Notes in Computer Science, vol. 9499, Springer, London, pp. 1-12, 13th Workshop on Approximation and Online Algorithms, WAOA 2015, Patras, Greece, 17/09/15. https://doi.org/10.1007/978-3-319-28684-6_1

Approximation Algorithms for k-Connected Graph Factors. / Manthey, Bodo; Waanders, Marten.

Proceedings of the 13th Workshop on Approximation and Online Algorithms (WAOA 2015). ed. / Laura Sanita; Martin Skutella. London : Springer, 2016. p. 1-12 (Lecture Notes in Computer Science; Vol. 9499).

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

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