Structural theory of trees. II. Completeness and completions of trees

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dc.contributor.author Kellerman, Ruaan
dc.contributor.author Zanardo, Alberto
dc.contributor.author Goranko, Valentin
dc.date.accessioned 2024-07-25T08:55:53Z
dc.date.available 2024-07-25T08:55:53Z
dc.date.issued 2023-12
dc.description.abstract Trees are partial orderings where every element has a linearly ordered set of smaller elements. We define and study several natural notions of completeness of trees, extending Dedekind completeness of linear orders and Dedekind-MacNeille completions of partial orders. We then define constructions of tree completions that extend any tree to a minimal one satisfying the respective completeness property. en_US
dc.description.department Mathematics and Applied Mathematics en_US
dc.description.librarian am2024 en_US
dc.description.sdg None en_US
dc.description.uri https://cdm.ucalgary.ca en_US
dc.identifier.citation Kellerman, R., Zanardo, A., goranko, V. 2023, 'Structural theory of trees. II. Completeness and completions of trees', Contributions to Discrete Mathematics, vol. 18, no. 2, pp. 210-233. en_US
dc.identifier.issn 1715-0868
dc.identifier.uri http://hdl.handle.net/2263/97233
dc.language.iso en en_US
dc.publisher University of Calgary Press en_US
dc.rights © University of Calgary Press. en_US
dc.subject Partial order en_US
dc.subject Tree en_US
dc.subject Complete en_US
dc.subject Completion en_US
dc.title Structural theory of trees. II. Completeness and completions of trees en_US
dc.type Article en_US


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