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math.CO2020
Combinatorial and computational investigations of Neighbor-Joining bias
Ruth Davidson, Abraham Martin del Campo
The Neighbor-Joining algorithm is a popular distance-based phylogenetic method that computes a tree metric from a dissimilarity map arising from biological data. Realizing dissimil…
math.CO2015
A new shellability proof of an identity of Dixon
Ruth Davidson, Augustine O'Keefe, Daniel Parry
We give a new proof of an old identity of Dixon (1865-1936) that uses tools from topological combinatorics. Dixon's identity is re-established by constructing an infinite family of…
math.CO2011
A lexicographic shellability characterization of geometric lattices
Ruth Davidson, Patricia Hersh
Geometric lattices are characterized in this paper as those finite, atomic lattices such that every atom ordering induces a lexicographic shelling given by an edge labeling known a…