dc.creatorde Caria, Pablo Jesús
dc.creatorGutierrez, Marisa
dc.date.accessioned2019-08-09T19:48:54Z
dc.date.accessioned2022-10-14T21:31:50Z
dc.date.available2019-08-09T19:48:54Z
dc.date.available2022-10-14T21:31:50Z
dc.date.created2019-08-09T19:48:54Z
dc.date.issued2012-06-22
dc.identifierde Caria, Pablo Jesús; Gutierrez, Marisa; Determining what sets of trees can be the clique trees of a chordal graph; Springer; Journal Of The Brazilian Computer Society; 18; 2; 22-6-2012; 121-128
dc.identifier0104-6500
dc.identifierhttp://hdl.handle.net/11336/81353
dc.identifier1678-4804
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4308986
dc.description.abstractChordal graphs have characteristic tree representations, the clique trees. The problems of finding one or enumerating them have already been solved in a satisfactory way. In this paper, the following related problem is studied: given a family T of trees, all having the same vertex set V, determine whether there exists a chordal graph whose set of clique trees equals T. For that purpose, we undertake a study of the structural properties, some already known and some new, of the clique trees of a chordal graph and the characteristics of the sets that induce subtrees of every clique tree. Some necessary and sufficient conditions and examples of how they can be applied are found, eventually establishing that a positive or negative answer to the problem can be obtained in polynomial time. If affirmative, a graph whose set of clique trees equals T is also obtained. Finally, all the chordal graphs with set of clique trees equal to T are characterized.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs13173-011-0048-0
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s13173-011-0048-0
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCHORDAL GRAPH
dc.subjectCLIQUE
dc.subjectCLIQUE TREE
dc.subjectMINIMAL SEPARATOR
dc.titleDetermining what sets of trees can be the clique trees of a chordal graph
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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