Treelike quintet systems
Simone Calamai, Elena Rubei

TL;DR
This paper provides criteria to determine when a collection of 5-leaf trees can be combined into a single supertree that encompasses all leaves, aiding in the reconstruction of larger phylogenetic trees.
Contribution
It introduces a novel criterion for amalgamating a system of trees with 5-leaf subsets into a comprehensive supertree.
Findings
Established necessary and sufficient conditions for tree amalgamation.
Provided a method to verify if a system of trees can form a supertree.
Enhanced understanding of tree reconstruction from partial data.
Abstract
Let be a finite set. We give criterion to say if a system of trees with leaf sets can be amalgamated into a supertree, that is, if there exists a tree with such that restricted to is equal to .
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Graph Theory Research · Topological and Geometric Data Analysis
