3 papers
math.CO2026
Burning Graph Powers and Branching Trees
Jesper Jansson, Shashanka Kulamarva, Yukihiro Murakami +1
Graph burning is a discrete-time process that models the spread of social contagion. Initially, all vertices are unburned. In each round, one unburned vertex is selected and burned…
math.RA2019
Counting finite-dimensional algebras over finite fields
Nikolaas D. Verhulst
In this paper, we describe an elementary method for counting the number of non-isomorphic algebras of a fixed dimension over a given finite field. We show how this method works for…
math.RA2017
Towards a Chevalley-style non-commutative algebraic geometry
Nikolaas Verhulst
We aim to construct a non-commutative algebraic geometry by using generalised valuations. To this end, we introduce groupoid valuation rings and associate suitable value functions…