Volume

Dagstuhl Seminar Proceedings, Volume 7211



Publication Details

  • published at: 2007-12-14
  • Publisher: Schloss-Dagstuhl - Leibniz Zentrum für Informatik

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07211 Abstracts Collection – Exact, Approximative, Robust and Certifying Algorithms on Particular Graph Classes

Authors: Andreas Brandstädt, Klaus Jansen, Dieter Kratsch, and Jeremy P. Spinrad


Abstract
From May 20 to May 25, 2007, the Dagstuhl Seminar 07211 ``Exact, Approximative, Robust and Certifying Algorithms on Particular Graph Classes'' was held 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. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.

Cite as

Andreas Brandstädt, Klaus Jansen, Dieter Kratsch, and Jeremy P. Spinrad. 07211 Abstracts Collection – Exact, Approximative, Robust and Certifying Algorithms on Particular Graph Classes. In Exact, Approximative, Robust and Certifying Algorithms on Particular Graph Classes. Dagstuhl Seminar Proceedings, Volume 7211, pp. 1-14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2007)


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@InProceedings{brandstadt_et_al:DagSemProc.07211.1,
  author =	{Brandst\"{a}dt, Andreas and Jansen, Klaus and Kratsch, Dieter and Spinrad, Jeremy P.},
  title =	{{07211 Abstracts Collection – Exact, Approximative, Robust and Certifying Algorithms on Particular Graph Classes}},
  booktitle =	{Exact, Approximative, Robust and Certifying Algorithms on Particular Graph Classes},
  pages =	{1--14},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2007},
  volume =	{7211},
  editor =	{Andreas Brandst\"{a}dt and Klaus Jansen and Dieter Kratsch and Jeremy P. Spinrad},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.07211.1},
  URN =		{urn:nbn:de:0030-drops-12697},
  doi =		{10.4230/DagSemProc.07211.1},
  annote =	{Keywords: Graph theory, approximation algorithms, certifying algorithms, exact algorithms}
}
Document
Linear-time certifying recognition for partitioned probe cographs

Authors: Van Bang Le and H.N. de Ridder


Abstract
Cographs are those graphs without induced path on four vetices. A graph $G=(V, E)$ with a partition $V=Pcup N$ where $N$ is an independent set is a partitioned probe cograph if one can add new edges between certain vertices in $N$ in such a way that the graph obtained is a cograph. We characterize partitioned probe cographs in terms of five forbidden induced subgraphs. Using this characterization, we give a linear-time recognition algorithm for partitioned probe cographs. Our algorithm produces a certificate for membership that can be checked in linear time and a certificate for non-membership that can be checked in sublinear time.

Cite as

Van Bang Le and H.N. de Ridder. Linear-time certifying recognition for partitioned probe cographs. In Exact, Approximative, Robust and Certifying Algorithms on Particular Graph Classes. Dagstuhl Seminar Proceedings, Volume 7211, pp. 1-4, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2007)


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@InProceedings{le_et_al:DagSemProc.07211.2,
  author =	{Le, Van Bang and de Ridder, H.N.},
  title =	{{Linear-time certifying recognition for partitioned probe cographs}},
  booktitle =	{Exact, Approximative, Robust and Certifying Algorithms on Particular Graph Classes},
  pages =	{1--4},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2007},
  volume =	{7211},
  editor =	{Andreas Brandst\"{a}dt and Klaus Jansen and Dieter Kratsch and Jeremy P. Spinrad},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.07211.2},
  URN =		{urn:nbn:de:0030-drops-12703},
  doi =		{10.4230/DagSemProc.07211.2},
  annote =	{Keywords: Cograph, probe cograph, certifying graph algorithm}
}

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