3 papers
q-bio.PE2026
Identifiability of phylogenetic networks and quintet concordance factors
Joseph Cummings, Maize Curiel, Bryan Currie +3
Several statistical methods of phylogenetic network inference and testing for non-tree-like relationships are based on assessing genomic data through quartet Concordance Factors, t…
math.AG2023
The Pfaffian Structure of CFN Phylogenetic Networks
Joseph Cummings, Elizabeth Gross, Benjamin Hollering +2
Algebraic techniques in phylogenetics have historically been successful at proving identifiability results and have also led to novel reconstruction algorithms. In this paper, we s…
math.AG2023
Computing Implicitizations of Multi-Graded Polynomial Maps
Joseph Cummings, Benjamin Hollering
In this paper, we focus on computing the kernel of a map of polynomial rings . This core problem in symbolic computation is known as implicitization. While there are extremely e…