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DOI: 10.4230/LIPIcs.FSTTCS.2013.389

Geometric Avatar Problems

Authors: Mario E. Consuegra and Giri Narasimhan

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

Abstract

We introduce the concept of Avatar problems that deal with situations where each entity has multiple copies or "avatars" and the solutions are constrained to use exactly one of the avatars. The resulting set of problems show a surprising range of hardness characteristics and elicit a variety of algorithmic solutions. Many Multiple geometric avatar problems are considered. In particular, we show how to extend the concept of epsilon-kernels to find approximation algorithms for geometric avatar problems. Results for metric space graph avatar problems are also presented.

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Mario E. Consuegra and Giri Narasimhan. Geometric Avatar Problems. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 24, pp. 389-400, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@InProceedings{consuegra_et_al:LIPIcs.FSTTCS.2013.389,
  author =	{Consuegra, Mario E. and Narasimhan, Giri},
  title =	{{Geometric Avatar Problems}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2013)},
  pages =	{389--400},
  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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2013.389},
  URN =		{urn:nbn:de:0030-drops-43889},
  doi =		{10.4230/LIPIcs.FSTTCS.2013.389},
  annote =	{Keywords: Avatar problems, choice}
}

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DOI: 10.4230/DagSemProc.06481.1

06481 Abstracts Collection – Geometric Networks and Metric Space Embeddings

Authors: Joachim Gudmundsson, Rolf Klein, Giri Narasimhan, Michiel Smid, and Alexander Wolff

Published in: Dagstuhl Seminar Proceedings, Volume 6481, Geometric Networks and Metric Space Embeddings (2007)

Abstract

The Dagstuhl Seminar 06481 ``Geometric Networks and Metric Space Embeddings'' was held from November~26 to December~1, 2006 in the International Conference and Research Center (IBFI), Schloss Dagstuhl. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. In this paper we describe the seminar topics, we have compiled a list of open questions that were posed during the seminar, there is a list of all talks and there are abstracts of the presentations given during the seminar. Links to extended abstracts or full papers are provided where available.

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Joachim Gudmundsson, Rolf Klein, Giri Narasimhan, Michiel Smid, and Alexander Wolff. 06481 Abstracts Collection – Geometric Networks and Metric Space Embeddings. In Geometric Networks and Metric Space Embeddings. Dagstuhl Seminar Proceedings, Volume 6481, pp. 1-21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007)

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@InProceedings{gudmundsson_et_al:DagSemProc.06481.1,
  author =	{Gudmundsson, Joachim and Klein, Rolf and Narasimhan, Giri and Smid, Michiel and Wolff, Alexander},
  title =	{{06481 Abstracts Collection – Geometric Networks and Metric Space Embeddings}},
  booktitle =	{Geometric Networks and Metric Space Embeddings},
  pages =	{1--21},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2007},
  volume =	{6481},
  editor =	{Joachim Gudmundsson and Rolf Klein and Giri Narasimhan and Michiel Smid and Alexander Wolff},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.06481.1},
  URN =		{urn:nbn:de:0030-drops-10291},
  doi =		{10.4230/DagSemProc.06481.1},
  annote =	{Keywords: Geometric networks, metric space embeddings, phylogenetic networks, spanners, dilation, distortion}
}

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Geometric Avatar Problems

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06481 Abstracts Collection – Geometric Networks and Metric Space Embeddings

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