The Space of Edge-Weighted Trees is a Euclidean Cell for Trees With Exactly One Interior Vertex
W. Baritompa
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Abstract
The space of edge-weighted trees that are stars can be parameterised as a Euclidean cell. This answers in the affirmative a special case of a topological question posed by Vincent Moulton and Mike Steel in relation to phylogenetic trees. We conjecture the result is true for all trees.
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