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Approximation Algorithms for k-Connected Graph Factors

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Approximation and Online Algorithms (WAOA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9499))

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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 \(d \ge 2 \cdot \lceil k/2 \rceil \). For the case of k-vertex-connectedness, we achieve constant approximation ratios for \(d \ge 2k-1\). Our algorithms also work for arbitrary degree sequences if the minimum degree is at least \(2 \cdot \lceil k/2 \rceil \) (for k-edge-connectivity) or \(2k-1\) (for k-vertex-connectivity).

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Authors and Affiliations

  1. University of Twente, Enschede, The Netherlands

    Bodo Manthey & Marten Waanders

Authors
  1. Bodo Manthey
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  2. Marten Waanders
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Corresponding author

Correspondence to Bodo Manthey .

Editor information

Editors and Affiliations

  1. University of Waterloo, Waterloo, Canada

    Laura Sanità

  2. Technische Universität Berlin, Berlin, Berlin, Germany

    Martin Skutella

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Manthey, B., Waanders, M. (2015). Approximation Algorithms for k-Connected Graph Factors. In: Sanità, L., Skutella, M. (eds) Approximation and Online Algorithms. WAOA 2015. Lecture Notes in Computer Science(), vol 9499. Springer, Cham. https://doi.org/10.1007/978-3-319-28684-6_1

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  • DOI: https://doi.org/10.1007/978-3-319-28684-6_1

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