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.CO2024
Generating Plane Quadrangulations and Symmetry-preserving Operations on Maps
Heidi Van den Camp, Brendan D. McKay
Lopsp-operations are operations on maps that are applied locally and are guaranteed to preserve all the orientation-preserving symmetries of maps. Well-known examples of such opera…
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…