dc.creatorAlcón, Liliana Graciela
dc.creatorGudiño, Noemí Amalia
dc.creatorGutiérrez, Marisa
dc.date2020-08-22
dc.date2022-07-07T18:03:17Z
dc.date.accessioned2023-07-15T05:14:12Z
dc.date.available2023-07-15T05:14:12Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/139126
dc.identifierissn:0167-8094
dc.identifierissn:1572-9273
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7472598
dc.descriptionA k-tree is either a complete graph on k vertices or a graph that contains a vertex whose neighborhood induces a complete graph on k vertices and whose removal results in a k-tree. If the comparability graph of a poset P is a k-tree, we say that P is a k-tree poset. In the present work, we study and characterize by forbidden subposets the k-tree posets that admit a containment model mapping vertices into paths of a tree (CPT k-tree posets). Furthermore, we characterize the dually-CPT and strong-CPT k-tree posets and their comparability graphs. The characterizations lead to efficient recognition algorithms for the respective classes.
dc.descriptionCentro de Investigación de Matemática
dc.formatapplication/pdf
dc.format229-244
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by/4.0/
dc.rightsCreative Commons Attribution 4.0 International (CC BY 4.0)
dc.subjectMatemática
dc.subjectContainment models
dc.subjectComparability graphs
dc.subjectk-trees
dc.subjectCPT posets
dc.titleOn k-tree Containment Graphs of Paths in a Tree
dc.typeArticulo
dc.typeArticulo


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