15 citations · 35 across the 10 of their papers we have counts for
15 papers
Ask zeta functions of joins of graphs
Tobias Rossmann, Christopher Voll
In previous work (arXiv:1908.09589), we studied rational generating functions ("ask zeta functions") associated with graphs and hypergraphs. These functions encode average sizes of…
Coloured shuffle compatibility, Hadamard products, and ask zeta functions
Angela Carnevale, Vassilis Dionyssis Moustakas, Tobias Rossmann
We devise an explicit method for computing combinatorial formulae for Hadamard products of certain rational generating functions. The latter arise naturally when studying so-called…
On the enumeration of orbits of unipotent groups over finite fields
Tobias Rossmann
We show that the enumeration of linear orbits and conjugacy classes of -defined unipotent groups over finite fields is "wild" in the following sense: given an arbitrary…
Enumerating conjugacy classes of graphical groups over finite fields
Tobias Rossmann
Each graph and choice of a commutative ring gives rise to an associated graphical group. In this article, we introduce and investigate graph polynomials that enumerate conjugacy cl…
Linear relations with disjoint supports and average sizes of kernels
Angela Carnevale, Tobias Rossmann
We study the effects of imposing linear relations within modules of matrices on average sizes of kernels. The relations that we consider can be described combinatorially in terms o…
Groups, graphs, and hypergraphs: average sizes of kernels of generic matrices with support constraints
Tobias Rossmann, Christopher Voll
We develop a theory of average sizes of kernels of generic matrices with support constraints defined in terms of graphs and hypergraphs. We apply this theory to study unipotent gro…