License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/DagSemProc.06201.11
URN: urn:nbn:de:0030-drops-7869
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2006/786/
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Konstantinova, Elena

Vertex reconstruction in Cayley graphs

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Abstract

In this report paper we collect recent results on the vertex
reconstruction in Cayley graphs $Cay(G,S)$. The problem is stated as
the problem of reconstructing a vertex from the minimum number of
its $r$-neighbors that are vertices at distance at most $r$ from the
unknown vertex. The combinatorial properties of Cayley graphs on the
symmetric group $Sn$ and the signed permutation group $Bn$ with
respect to this problem are presented. The sets of generators of $S$
are specified by applications in coding theory, computer science,
molecular biology and physics.


BibTeX - Entry

@InProceedings{konstantinova:DagSemProc.06201.11,
  author =	{Konstantinova, Elena},
  title =	{{Vertex reconstruction in Cayley graphs}},
  booktitle =	{Combinatorial and Algorithmic Foundations of Pattern and Association Discovery},
  pages =	{1--20},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6201},
  editor =	{Rudolf Ahlswede and Alberto Apostolico and Vladimir I. Levenshtein},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2006/786},
  URN =		{urn:nbn:de:0030-drops-7869},
  doi =		{10.4230/DagSemProc.06201.11},
  annote =	{Keywords: Reconstruction problems, Cayley graphs, the symmetric group, the signed permutation group, sorting by reversals, pancake problem}
}

Keywords: Reconstruction problems, Cayley graphs, the symmetric group, the signed permutation group, sorting by reversals, pancake problem
Collection: 06201 - Combinatorial and Algorithmic Foundations of Pattern and Association Discovery
Issue Date: 2006
Date of publication: 07.11.2006

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