DC Field | Value | Language |
---|---|---|
dc.contributor.author | Courcelle, B | ko |
dc.contributor.author | Oum, Sang-il | ko |
dc.date.accessioned | 2013-03-07T15:59:07Z | - |
dc.date.available | 2013-03-07T15:59:07Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2007-01 | - |
dc.identifier.citation | JOURNAL OF COMBINATORIAL THEORY SERIES B, v.97, no.1, pp.91 - 126 | - |
dc.identifier.issn | 0095-8956 | - |
dc.identifier.uri | http://hdl.handle.net/10203/90616 | - |
dc.description.abstract | We prove that one can express the vertex-minor relation on finite undirected graphs by formulas of monadic second-order logic (with no edge set quantification) extended with a predicate expressing that a set has even cardinality. We obtain a slight weakening of a conjecture by Seese stating that sets of graphs having a decidable satisfiability problem for monadic second-order logic have bounded clique-width. We also obtain a polynomial-time algorithm to check that the rank-width of a graph is at most k for any fixed k. The proofs use isotropic systems. (c) 2006 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | GRAPH MINORS | - |
dc.subject | CLIQUE-WIDTH | - |
dc.subject | BRANCH-WIDTH | - |
dc.subject | ISOTROPIC SYSTEMS | - |
dc.subject | RANK-WIDTH | - |
dc.subject | TREE-WIDTH | - |
dc.subject | MATROIDS | - |
dc.subject | SETS | - |
dc.subject | OBSTRUCTIONS | - |
dc.subject | RECOGNITION | - |
dc.title | Vertex-minors, monadic second-order logic, and a conjecture by Seese | - |
dc.type | Article | - |
dc.identifier.wosid | 000243239700006 | - |
dc.identifier.scopusid | 2-s2.0-33751429952 | - |
dc.type.rims | ART | - |
dc.citation.volume | 97 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 91 | - |
dc.citation.endingpage | 126 | - |
dc.citation.publicationname | JOURNAL OF COMBINATORIAL THEORY SERIES B | - |
dc.identifier.doi | 10.1016/j.jctb.2006.04.003 | - |
dc.contributor.localauthor | Oum, Sang-il | - |
dc.contributor.nonIdAuthor | Courcelle, B | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | clique-width | - |
dc.subject.keywordAuthor | rank-width | - |
dc.subject.keywordAuthor | monadic second-order logic | - |
dc.subject.keywordAuthor | Seese&apos | - |
dc.subject.keywordAuthor | s conjecture | - |
dc.subject.keywordAuthor | local complementation | - |
dc.subject.keywordAuthor | vertex-minor | - |
dc.subject.keywordAuthor | isotropic system | - |
dc.subject.keywordPlus | GRAPH MINORS | - |
dc.subject.keywordPlus | CLIQUE-WIDTH | - |
dc.subject.keywordPlus | BRANCH-WIDTH | - |
dc.subject.keywordPlus | ISOTROPIC SYSTEMS | - |
dc.subject.keywordPlus | RANK-WIDTH | - |
dc.subject.keywordPlus | TREE-WIDTH | - |
dc.subject.keywordPlus | MATROIDS | - |
dc.subject.keywordPlus | SETS | - |
dc.subject.keywordPlus | OBSTRUCTIONS | - |
dc.subject.keywordPlus | RECOGNITION | - |
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