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Covering codes in Sierpinski graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2010 France, Slovenia English Publisher:Centre pour la Communication Scientifique Directe (CCSD)Journal:Discrete Mathematics & Theoretical Computer Science, volume Vol. 12 no. 3 (eissn: 1365-8050, Copyright policy )
Authors: Laurent Beaudou; Sylvain Gravier; Sandi Klavzar; Matjaz Kovse; Michel Mollard;

doi: 10.46298/dmtcs.508

handle: 20.500.12556/DKUM-58152

Covering codes in Sierpinski graphs

Abstract

Graphs and Algorithms For a graph G and integers a and b, an (a, b)-code of G is a set C of vertices such that any vertex from C has exactly a neighbors in C and any vertex not in C has exactly b neighbors in C. In this paper we classify integers a and b for which there exist (a, b)-codes in Sierpinski graphs.

Countries
France, Slovenia
Related Organizations
Keywords

grafi Sierpińskega, perfect codes, kode v grafih, graph theory, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], codes in graphs, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], Sierpiński graphs, Sierpinski graphs, 004, info:eu-repo/classification/udc/519.17, sierpinski graphs, teorija grafov, popolne kode, QA1-939, Mathematics

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    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
Published in a Diamond OA journal