3 papers
math.CO2023
Complexity of quiver mutation equivalence
David Soukup
We prove results for determining whether quivers are mutation equivalent to quivers with given properties. Specifically, determining whether a quiver is muta…
math.GR2022
Algebraic and arithmetic properties of the cogrowth sequence of nilpotent groups
Igor Pak, David Soukup
We prove that congruences of the cogrowth sequence in a unitriangular group UT are undecidable. This is in contrast with abelian groups, where the congruences of the c…
math.CO2017
Embeddings of weighted graphs in Erdős-type settings
David M. Soukup
Many recent results in combinatorics concern the relationship between the size of a set and the number of distances determined by pairs of points in the set. One extension of this…