2 papers
math.CO2026
Hamiltonian Sets of Polygonal Paths in Assembly Graphs
A. Guterman, N. Jonoska, E. Kreines +2
We provide four equivalent combinatorial conditions for a simple assembly graph (rigid vertex graph where all vertices are of degree 1 or 4) to have the largest number of Hamiltoni…
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…