Generalizating path and fan graphs: subcoloring and toughness
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Pesquisa operacional (Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382014000100008 |
Resumo: | Two graph classes are presented; the first one (k-ribbon) generalizes the path graph and the second one (k-fan) generalizes the fan graph. We prove that they are subclasses of chordal graphs and so they share the same structural properties of this class. The solution of two problems are presented: the determination of the subchromatic number and the determination of the toughness. It is shown that the elements of the new classes establish bounds for the toughness of k-path graphs. |
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Generalizating path and fan graphs: subcoloring and toughnessk-path graphsk-ribbon graphsk-fan graphssubcoloringtoughnessTwo graph classes are presented; the first one (k-ribbon) generalizes the path graph and the second one (k-fan) generalizes the fan graph. We prove that they are subclasses of chordal graphs and so they share the same structural properties of this class. The solution of two problems are presented: the determination of the subchromatic number and the determination of the toughness. It is shown that the elements of the new classes establish bounds for the toughness of k-path graphs.Sociedade Brasileira de Pesquisa Operacional2014-04-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382014000100008Pesquisa Operacional v.34 n.1 2014reponame:Pesquisa operacional (Online)instname:Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)instacron:SOBRAPO10.1590/S0101-74382014005000004info:eu-repo/semantics/openAccessMarkenzon,LilianWaga,Christina F.E.M.eng2014-05-08T00:00:00Zoai:scielo:S0101-74382014000100008Revistahttp://www.scielo.br/popehttps://old.scielo.br/oai/scielo-oai.php||sobrapo@sobrapo.org.br1678-51420101-7438opendoar:2014-05-08T00:00Pesquisa operacional (Online) - Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)false |
dc.title.none.fl_str_mv |
Generalizating path and fan graphs: subcoloring and toughness |
title |
Generalizating path and fan graphs: subcoloring and toughness |
spellingShingle |
Generalizating path and fan graphs: subcoloring and toughness Markenzon,Lilian k-path graphs k-ribbon graphs k-fan graphs subcoloring toughness |
title_short |
Generalizating path and fan graphs: subcoloring and toughness |
title_full |
Generalizating path and fan graphs: subcoloring and toughness |
title_fullStr |
Generalizating path and fan graphs: subcoloring and toughness |
title_full_unstemmed |
Generalizating path and fan graphs: subcoloring and toughness |
title_sort |
Generalizating path and fan graphs: subcoloring and toughness |
author |
Markenzon,Lilian |
author_facet |
Markenzon,Lilian Waga,Christina F.E.M. |
author_role |
author |
author2 |
Waga,Christina F.E.M. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Markenzon,Lilian Waga,Christina F.E.M. |
dc.subject.por.fl_str_mv |
k-path graphs k-ribbon graphs k-fan graphs subcoloring toughness |
topic |
k-path graphs k-ribbon graphs k-fan graphs subcoloring toughness |
description |
Two graph classes are presented; the first one (k-ribbon) generalizes the path graph and the second one (k-fan) generalizes the fan graph. We prove that they are subclasses of chordal graphs and so they share the same structural properties of this class. The solution of two problems are presented: the determination of the subchromatic number and the determination of the toughness. It is shown that the elements of the new classes establish bounds for the toughness of k-path graphs. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-04-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382014000100008 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382014000100008 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0101-74382014005000004 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Pesquisa Operacional |
publisher.none.fl_str_mv |
Sociedade Brasileira de Pesquisa Operacional |
dc.source.none.fl_str_mv |
Pesquisa Operacional v.34 n.1 2014 reponame:Pesquisa operacional (Online) instname:Sociedade Brasileira de Pesquisa Operacional (SOBRAPO) instacron:SOBRAPO |
instname_str |
Sociedade Brasileira de Pesquisa Operacional (SOBRAPO) |
instacron_str |
SOBRAPO |
institution |
SOBRAPO |
reponame_str |
Pesquisa operacional (Online) |
collection |
Pesquisa operacional (Online) |
repository.name.fl_str_mv |
Pesquisa operacional (Online) - Sociedade Brasileira de Pesquisa Operacional (SOBRAPO) |
repository.mail.fl_str_mv |
||sobrapo@sobrapo.org.br |
_version_ |
1750318017774878720 |