3 papers
math.CO2024
Preserving and Increasing Symmetries of Polyhedral Maps
Gunnar Brinkmann, Fabio Buccoliero, Heidi Van den Camp
In this article we investigate the question which local symmetry preserving operations can not only preserve, but also increase the symmetry of a polyhedral map. Often operations t…
math.CO2023
Face sizes and the connectivity of the dual
Gunnar Brinkmann, Kenta Noguchi, Heidi Van den Camp
For each we prove tight lower bounds on face sizes that must be present to allow - or -cuts in simple duals of -connected maps. Using these bounds, we determine t…
math.CO2023
The Effect of Symmetry-preserving Operations on 3-Connectivity
Heidi Van den Camp
In 2017, Brinkmann, Goetschalckx and Schein introduced a very general way of describing operations on embedded graphs that preserve all orientation-preserving symmetries of the gra…