3 papers
math.CO2021
Clique dynamics of locally cyclic graphs with
Markus Baumeister, Anna M. Limbach
We prove that the clique graph operator is divergent on a locally cyclic graph (i.e. is a circle) with minimum degree if and only if is -regular. T…
math.CO2019
Characterisation of geodesic self-dual regular surface triangulations
Markus Baumeister
We consider triangulations of closed surfaces in which every vertex is incident to exactly edges. These triangulations can be identified with subgroups of the triangle group $\…
math.CO2019
Foldability of simplicial surfaces onto a triangle
Markus Baumeister
We characterise which simplicial surfaces can be folded onto a triangle. We define a notion of folding that incorporates the non-intersection-properties of real materials. All of t…