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DOI: 10.4230/LIPIcs.FSTTCS.2014.213

Replica Placement on Directed Acyclic Graphs

Authors: Sonika Arora, Venkatesan T. Chakaravarthy, Kanika Gupta, Neelima Gupta, and Yogish Sabharwal

Published in: LIPIcs, Volume 29, 34th International Conference on Foundation of Software Technology and Theoretical Computer Science (FSTTCS 2014)

Abstract

The replica placement problem has been well studied on trees. In this paper, we study this problem on directed acyclic graphs. The replica placement problem on general DAGs generalizes the set cover problem. We present a constant factor approximation algorithm for the special case of DAGs having bounded degree and bounded tree-width (BDBT-DAGs). We also present a constant factor approximation algorithm for DAGs composed of local BDBT-DAGs connected in a tree like manner (TBDBT-DAGs). The latter class of DAGs generalizes trees as well; we improve upon the previously best known approximation ratio for the problem on trees. Our algorithms are based on the LP rounding technique; the core component of our algorithm exploits the structural properties of tree-decompositions to massage the LP solution into an integral solution.

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Sonika Arora, Venkatesan T. Chakaravarthy, Kanika Gupta, Neelima Gupta, and Yogish Sabharwal. Replica Placement on Directed Acyclic Graphs. In 34th International Conference on Foundation of Software Technology and Theoretical Computer Science (FSTTCS 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 29, pp. 213-225, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)

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@InProceedings{arora_et_al:LIPIcs.FSTTCS.2014.213,
  author =	{Arora, Sonika and Chakaravarthy, Venkatesan T. and Gupta, Kanika and Gupta, Neelima and Sabharwal, Yogish},
  title =	{{Replica Placement on Directed Acyclic Graphs}},
  booktitle =	{34th International Conference on Foundation of Software Technology and Theoretical Computer Science (FSTTCS 2014)},
  pages =	{213--225},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-77-4},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{29},
  editor =	{Raman, Venkatesh and Suresh, S. P.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2014.213},
  URN =		{urn:nbn:de:0030-drops-48449},
  doi =		{10.4230/LIPIcs.FSTTCS.2014.213},
  annote =	{Keywords: Approximation Algorithms, LP Rounding}
}

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DOI: 10.4230/LIPIcs.FSTTCS.2013.263

Replica Placement via Capacitated Vertex Cover

Authors: Sonika Arora, Venkatesan T. Chakaravarthy, Neelima Gupta, Koyel Mukherjee, and Yogish Sabharwal

Published in: LIPIcs, Volume 24, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2013)

Abstract

In this paper, we study the replica placement problem on trees and present a constant factor approximation algorithm (with an additional additive constant factor). This improves the best known previous algorithm having an approximation ratio dependent on the maximum degree of the tree. Our techniques also extend to the partial cover version. Our algorithms are based on the LP rounding technique. The core component of our algorithm exploits a connection between the natural LP solutions of the replica placement problem and the capacitated vertex cover problem.

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Sonika Arora, Venkatesan T. Chakaravarthy, Neelima Gupta, Koyel Mukherjee, and Yogish Sabharwal. Replica Placement via Capacitated Vertex Cover. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 24, pp. 263-274, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@InProceedings{arora_et_al:LIPIcs.FSTTCS.2013.263,
  author =	{Arora, Sonika and Chakaravarthy, Venkatesan T. and Gupta, Neelima and Mukherjee, Koyel and Sabharwal, Yogish},
  title =	{{Replica Placement via Capacitated Vertex Cover}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2013)},
  pages =	{263--274},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-64-4},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{24},
  editor =	{Seth, Anil and Vishnoi, Nisheeth K.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2013.263},
  URN =		{urn:nbn:de:0030-drops-43784},
  doi =		{10.4230/LIPIcs.FSTTCS.2013.263},
  annote =	{Keywords: Approximation Algorithms, LP Rounding}
}

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Documents authored by Arora, Sonika

Replica Placement on Directed Acyclic Graphs

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Replica Placement via Capacitated Vertex Cover

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