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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…
math.CO2021
On Local Operations that Preserve Symmetries and on Preserving Polyhedrality of Embeddings
Gunnar Brinkmann, Heidi Van den Camp
We prove that local operations that preserve all symmetries, as e.g. dual, truncation, ambo, or join,, as well as local operations that preserve all symmetries except orientation r…