1 citations · 1 across the 5 of their papers we have counts for
5 papers
A Comparison of Polynomial-Based Tree Clustering Methods
Pengyu Liu, Mariel Vázquez, Nataša Jonoska
Tree structures appear in many fields of the life sciences, including phylogenetics, developmental biology and nucleic acid structures. Trees can be used to represent RNA secondary…
The Insertion Chain Complex: A Topological Approach to the Structure of Word Sets
Nataša Jonoska, Francisco Martinez-Figueroa, Masahico Saito
We introduce the Insertion Chain Complex, a higher-dimensional extension of insertion graphs, as a new framework for analyzing finite sets of words. We study its topological and co…
Betti Numbers of Prodsimplicial Complexes for Directed Graphs with Applications to Word Reductions
Lina Fajardo Gómez, Margherita Maria Ferrari, Nataša Jonoska +1
We propose custom made cell complexes, in particular prodsimplicial complexes, in order to analyze data consisting of directed graphs. These are constructed by attaching cells that…
Deterministic Non-cooperative Binding in Two-Dimensional Tile Assembly Systems Must Have Ultimately Periodic Paths
Jérôme Durand-Lose, Hendrik Jan Hoogeboom, Nataša Jonoska
We consider non-cooperative binding, so-called 'temperature 1', in deterministic or directed (called here confluent) tile self-assembly systems in two dimensions and show a necessa…
Algebraic Systems for DNA Origami Motivated from Temperley-Lieb Algebras
James Garrett, Nataša Jonoska, Hwee Kim +1
We initiate an algebraic approach to study DNA origami structures by associating an element from a monoid to each structure. We identify two types of basic building blocks and desc…