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A Note on Iterated Rounding for the Survivable Network Design Problem

Authors Chandra Chekuri, Thapanapong Rukkanchanunt

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Chandra Chekuri
Thapanapong Rukkanchanunt

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Chandra Chekuri and Thapanapong Rukkanchanunt. A Note on Iterated Rounding for the Survivable Network Design Problem. In 1st Symposium on Simplicity in Algorithms (SOSA 2018). Open Access Series in Informatics (OASIcs), Volume 61, pp. 2:1-2:10, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018) https://doi.org/10.4230/OASIcs.SOSA.2018.2

Abstract

In this note we consider the survivable network design problem (SNDP) in undirected graphs. We make two contributions. The first is a new counting argument in the iterated rounding based 2-approximation for edge-connectivity SNDP (EC-SNDP) originally due to Jain. The second contribution is to make some connections between hypergraphic version of SNDP (Hypergraph-SNDP) introduced by Zhao, Nagamochi and Ibaraki, and edge and node-weighted versions of EC-SNDP and element-connectivity SNDP (Elem-SNDP). One useful consequence is a 2-approximation for Elem-SNDP that avoids the use of set-pair based relaxation and analysis.

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Keywords
  • survivable network design
  • iterated rounding
  • approximation
  • element connectivity

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