Works (7)
Updated: July 5th, 2023 15:39
2017 journal article
Completion of tree metrics and rank 2 matrices
LINEAR ALGEBRA AND ITS APPLICATIONS, 533, 1–13.
author keywords: Low-rank matrix completion; Algebraic matroids; Tropical geometry; Tree-metric completion
TL;DR:
This work gives a combinatorial description of the collections of pairwise distances between several taxa that may be arbitrarily prescribed while still allowing the resulting dissimilarity map to be completed to a tree metric.
(via Semantic Scholar)
open access via arxiv.org (repository)
Source: Web Of Science
Added: August 6, 2018
2017 journal article
L-INFINITY OPTIMIZATION TO LINEAR SPACES AND PHYLOGENETIC TREES
SIAM JOURNAL ON DISCRETE MATHEMATICS, 31(2), 875–889.
author keywords: distance-based methods; tree metric; ultrametric; subdominant ultrametric; oriented matroid; zonotope
TL;DR:
It is shown that the $l^\infty$-closest point in alinear space is unique if and only if the underlying matroid of the linear space is uniform.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2017 journal article
Unimodular hierarchical model sand their Graver bases
Journal of Algebraic Statistics, 8(2), 29–43.
Source: NC State University Libraries
Added: August 6, 2018
2016 journal article
Normal Binary Hierarchical Models
EXPERIMENTAL MATHEMATICS, 26(2), 153–164.
author keywords: algebraic statistics; contingency tables; Hilbert basis; Groebner basis; combinatorics
TL;DR:
This work studies the normality of these vector configurations including a description of operations on simplicial complexes that preserve normality, constructions of families of minimally nonnormal complexes, and computations classifying all of the normal complexes on up to six vertices.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2016 journal article
Unimodular binary hierarchical models
JOURNAL OF COMBINATORIAL THEORY SERIES B, 123, 97–125.
author keywords: Graver basis; Algebraic statistics; Log-linear models; Hierarchical models; Toric ideal
TL;DR:
The main theorem provides both a construction of all unimodular binary hierarchical models and a characterization in terms of excluded minors, where the definition of a minor allows the taking of links and induced complexes.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
BOUNDS ON THE EXPECTED SIZE OF THE MAXIMUM AGREEMENT SUBTREE
SIAM JOURNAL ON DISCRETE MATHEMATICS, 29(4), 2065–2074.
author keywords: random trees; agreement subtrees; Yule-Harding distribution
TL;DR:
It is proved polynomial upper and lower bounds on the expected size of the maximum agreement subtree of two random binary phylogenetic trees under both the uniform distribution and Yule-Harding distribution are positive.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
On three sets with nondecreasing diameter
DISCRETE MATHEMATICS, 338(8), 1328–1344.
author keywords: Monochromatic; Ramsey; Erdos-Ginzburg-Ziv; Diameter; Integer; Nondecreasing; m-set
Source: Web Of Science
Added: August 6, 2018
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