Works (3)
Updated: July 5th, 2023 15:44
2014 journal article
A lexicographic shellability characterization of geometric lattices
JOURNAL OF COMBINATORIAL THEORY SERIES A, 123(1), 8–13.
author keywords: Geometric lattice; Mobius function; Shellability; Order complex
TL;DR:
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 as a minimal labeling.
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open access via arxiv.org (repository)
Source: Web Of Science
Added: August 6, 2018
2014 journal article
Distance-Based Phylogenetic Methods Around a Polytomy
IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS, 11(2), 325–335.
Contributors: n & S. Sullivant n
author keywords: Neighbor-joining; phylogeny; polyhedra; polytomy; UPGMA
MeSH headings : Algorithms; Computational Biology / methods; Evolution, Molecular; Models, Genetic; Phylogeny
TL;DR:
Polyhedral geometry is used to compare the local nature of the subdivisions induced by least-squares phylogeny, UPGMA, and neighbor-joining when the true tree has a single polytomy with exactly four neighbors.
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UN Sustainable Development Goal Categories
15. Life on Land
(Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2012 journal article
Polyhedral combinatorics of UPGMA cones
ADVANCES IN APPLIED MATHEMATICS, 50(2), 327–338.
Contributors: n & S. Sullivant n
author keywords: Phylogenetic trees; Polyhedral combinatorics; Partition lattice
TL;DR:
This work uses polyhedral combinatorics to analyze the natural subdivision of the positive orthant induced by classifying the input vectors according to tree topologies returned by the algorithm, and gives a closed form for the extreme rays of UPGMA cones on n taxa.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land
(Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018