3 papers
math.CO2025
Group Actions and Some Combinatorics on Words with
John Machacek
We introduce generalizations of powers and factor complexity via orbits of group actions. These generalizations include concepts like abelian powers and abelian complexity. It is s…
math.CO2024
A finite totally nonnegative Grassmannian
John Machacek
We introduce totally nonnegative Grassmannians over finite fields where an element of a finite field is nonnegative if it is a square of an element of the finite field. Explicit po…
math.CO2024
Diameter bound for facet-ridge incidence graphs of geometric lattices
Patricia Hersh, John Machacek
This paper proves that the facet-ridge incidence graph of the order complex of any finite geometric lattice of rank has diameter at most . A key ingredient is th…