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STRUCTURAL THEORY OF TREES I. BRANCHING AND CONDENSATIONS OF TREES
Stockholm University, Faculty of Humanities, Department of Philosophy.ORCID iD: 0000-0002-0157-1644
Number of Authors: 32023 (English)In: Contributions to Discrete Mathematics, ISSN 1715-0868, Vol. 18, no 2, p. 188-209Article in journal (Refereed) Published
Abstract [en]

Trees are partial orders in which every element has a linearly ordered set of predecessors. Here we initiate the exploration of the structural theory of trees with the study of different notions of branching in trees and of condensed trees, which are trees in which every node is a branching node. We then introduce and investigate two different constructions of tree condensations-one shrinking, and the other expanding, the tree to a condensed tree.

Place, publisher, year, edition, pages
2023. Vol. 18, no 2, p. 188-209
Keywords [en]
partial order, tree, branching, condensed tree, tree condensation
National Category
Algebra and Logic Discrete Mathematics
Identifiers
URN: urn:nbn:se:su:diva-227428DOI: 10.55016/ojs/cdm.v18i2.74004ISI: 001165318700011Scopus ID: 2-s2.0-85185171624OAI: oai:DiVA.org:su-227428DiVA, id: diva2:1844279
Available from: 2024-03-13 Created: 2024-03-13 Last updated: 2024-03-13Bibliographically approved

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Goranko, Valentin

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