Independent sets of maximal size in tensor powers of vertex‐transitive graphs
Identifieur interne : 000133 ( Main/Exploration ); précédent : 000132; suivant : 000134Independent sets of maximal size in tensor powers of vertex‐transitive graphs
Auteurs : Cheng Yeaw Ku [Singapour] ; Benjamin B. Mcmillan [États-Unis]Source :
- Journal of Graph Theory [ 0364-9024 ] ; 2009-04.
English descriptors
Abstract
Let G be a connected, nonbipartite vertex‐transitive graph. We prove that if the only independent sets of maximal cardinality in the tensor product G × G are the preimages of the independent sets of maximal cardinality in G under projections, then the same holds for all finite tensor powers of G, thus providing an affirmative answer to a question raised by Larose and Tardif (J Graph Theory 40(3) (2002), 162–171). © 2009 Wiley Periodicals, Inc. J Graph Theory 60: 295‐301, 2009
Url:
DOI: 10.1002/jgt.20359
Affiliations:
Links toward previous steps (curation, corpus...)
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Independent sets of maximal size in tensor powers of vertex‐transitive graphs</title>
<author><name sortKey="Ku, Cheng Yeaw" sort="Ku, Cheng Yeaw" uniqKey="Ku C" first="Cheng Yeaw" last="Ku">Cheng Yeaw Ku</name>
</author>
<author><name sortKey="Mcmillan, Benjamin B" sort="Mcmillan, Benjamin B" uniqKey="Mcmillan B" first="Benjamin B." last="Mcmillan">Benjamin B. Mcmillan</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:4826178869459E0BBACF98C60A6F581DB498D75F</idno>
<date when="2009" year="2009">2009</date>
<idno type="doi">10.1002/jgt.20359</idno>
<idno type="url">https://api.istex.fr/document/4826178869459E0BBACF98C60A6F581DB498D75F/fulltext/pdf</idno>
<idno type="wicri:Area/Main/Corpus">000388</idno>
<idno type="wicri:Area/Main/Curation">000388</idno>
<idno type="wicri:Area/Main/Exploration">000133</idno>
<idno type="wicri:explorRef" wicri:stream="Main" wicri:step="Exploration">000133</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Independent sets of maximal size in tensor powers of vertex‐transitive graphs</title>
<author><name sortKey="Ku, Cheng Yeaw" sort="Ku, Cheng Yeaw" uniqKey="Ku C" first="Cheng Yeaw" last="Ku">Cheng Yeaw Ku</name>
<affiliation wicri:level="4"><country xml:lang="fr">Singapour</country>
<wicri:regionArea>Department of Mathematics, National University of Singapore, Singapore 117543</wicri:regionArea>
<orgName type="university">Université nationale de Singapour</orgName>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">Singapour</country>
</affiliation>
</author>
<author><name sortKey="Mcmillan, Benjamin B" sort="Mcmillan, Benjamin B" uniqKey="Mcmillan B" first="Benjamin B." last="Mcmillan">Benjamin B. Mcmillan</name>
<affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country>
<placeName><region type="state">Californie</region>
</placeName>
<wicri:cityArea>Department of Mathematics, Caltech Pasadena</wicri:cityArea>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Journal of Graph Theory</title>
<title level="j" type="abbrev">J. Graph Theory</title>
<idno type="ISSN">0364-9024</idno>
<idno type="eISSN">1097-0118</idno>
<imprint><publisher>Wiley Subscription Services, Inc., A Wiley Company</publisher>
<pubPlace>Hoboken</pubPlace>
<date type="published" when="2009-04">2009-04</date>
<biblScope unit="volume">60</biblScope>
<biblScope unit="issue">4</biblScope>
<biblScope unit="page" from="295">295</biblScope>
<biblScope unit="page" to="301">301</biblScope>
</imprint>
<idno type="ISSN">0364-9024</idno>
</series>
<idno type="istex">4826178869459E0BBACF98C60A6F581DB498D75F</idno>
<idno type="DOI">10.1002/jgt.20359</idno>
<idno type="ArticleID">JGT20359</idno>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0364-9024</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>independent sets of maximal size</term>
<term>tensor graph powers</term>
<term>vertex‐transitive</term>
</keywords>
</textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Let G be a connected, nonbipartite vertex‐transitive graph. We prove that if the only independent sets of maximal cardinality in the tensor product G × G are the preimages of the independent sets of maximal cardinality in G under projections, then the same holds for all finite tensor powers of G, thus providing an affirmative answer to a question raised by Larose and Tardif (J Graph Theory 40(3) (2002), 162–171). © 2009 Wiley Periodicals, Inc. J Graph Theory 60: 295‐301, 2009</div>
</front>
</TEI>
<affiliations><list><country><li>Singapour</li>
<li>États-Unis</li>
</country>
<region><li>Californie</li>
</region>
<orgName><li>Université nationale de Singapour</li>
</orgName>
</list>
<tree><country name="Singapour"><noRegion><name sortKey="Ku, Cheng Yeaw" sort="Ku, Cheng Yeaw" uniqKey="Ku C" first="Cheng Yeaw" last="Ku">Cheng Yeaw Ku</name>
</noRegion>
<name sortKey="Ku, Cheng Yeaw" sort="Ku, Cheng Yeaw" uniqKey="Ku C" first="Cheng Yeaw" last="Ku">Cheng Yeaw Ku</name>
</country>
<country name="États-Unis"><region name="Californie"><name sortKey="Mcmillan, Benjamin B" sort="Mcmillan, Benjamin B" uniqKey="Mcmillan B" first="Benjamin B." last="Mcmillan">Benjamin B. Mcmillan</name>
</region>
<name sortKey="Mcmillan, Benjamin B" sort="Mcmillan, Benjamin B" uniqKey="Mcmillan B" first="Benjamin B." last="Mcmillan">Benjamin B. Mcmillan</name>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Amerique/explor/CaltechV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000133 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000133 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Amerique |area= CaltechV1 |flux= Main |étape= Exploration |type= RBID |clé= ISTEX:4826178869459E0BBACF98C60A6F581DB498D75F |texte= Independent sets of maximal size in tensor powers of vertex‐transitive graphs }}
This area was generated with Dilib version V0.6.32. |