2 papers
math.CO2025
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…
math.RA2025
Structures of Monoids Motivated by DNA Origami
Peter Alspaugh, James Garrett, Nataša Jonoska +1
We construct a class of monoids, called origami monoids, motivated by Jones monoids and by strand organization in DNA origami structures. Two types of basic building blocks of DNA…