21 citations · 91 across the 23 of their papers we have counts for
4 papers · 2 filters
Topological Symmetry Groups for Small Complete Graphs
Dwayne Chambers, Erica Flapan
For each , we characterize all the groups which can occur as either the orientation preserving topological symmetry group or the topological symmetry group of some embeddi…
The Y-triangle move does not preserve Intrinsic Knottedness
Erica Flapan, Ramin Naimi
We answer the question "Does the Y-triangle move preserve intrinsic knottedness?" in the negative by giving an example of a graph that is obtained from the intrinsically knotted gr…
Symmetries of embedded complete bipartite graphs
Erica Flapan, Nicole Lehle, Blake Mellor +2
We characterize which automorphisms of an arbitrary complete bipartite graph can be induced by a homeomorphism of some embedding of the graph in .
Classification of topological symmetry groups of
Erica Flapan, Blake Mellor, Ramin Naimi +1
In this paper we complete the classification of topological symmetry groups for complete graphs by characterizing which can have a cyclic group, a dihedral group, or a…