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math.CO2023★ 1 cited
Structural theory of trees. II. Completeness and completions of trees
Valentin Goranko, Ruaan Kellerman, Alberto Zanardo
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 Dede…
math.CO2023★ 1 cited
Structural theory of trees. I. Branching and condensations of trees
Valentin Goranko, Ruaan Kellerman, Alberto Zanardo
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 dif…