E. Flapan

activity

20022023

most citedA Topological Characterization Of Knots and Links Arising From Site-Specific Recombination

21 citations · 91 across the 23 of their papers we have counts for

collaborators

28 papers

math.GT2023

Splittings of Tangles and Spatial Graphs

Erica Flapan, Hugh Howards

Menasco proved the surprising result that if $G$ is a reduced, alternating, connected projection of a link $L$ and $G$ is prime then $L$ is prime. This result has been generalized…

math.GT2020

Weakly linked embeddings of pairs of complete graphs in $R^{3}$

James Di, Erica Flapan, Spencer Johnson +2

Let $G$ and $H$ be disjoint embeddings of complete graphs $K_{m}$ and $K_{n}$ in $R^{3}$ such that some cycle in $G$ links a cycle in $H$ with non-zero linking number. We say th…

math.GT2019

Topological Symmetry Groups of the Heawood Graph

Emille Davie Lawrence, Erica Flapan, Robin T. Wilson

We classify all groups which can occur as the topological symmetry group of some embedding of the Heawood graph in $S^{3}$ .

math.GT2019★ 2 cited

Stick number of non-paneled knotless spatial graphs

Erica Flapan, Kenji Kozai, Ryo Nikkuni

We show that the minimum number of sticks required to construct a non-paneled knotless embedding of $K_{4}$ is 9 and of $K_{5}$ is 12 or 13. We use our results about $K_{4}$ to show that…

math.GT2019

Symmetries of Spatial Graphs in $3$ -manifolds

Erica Flapan, Song Yu

We consider when automorphisms of a graph can be induced by homeomorphisms of embeddings of the graph in a $3$ -manifold. In particular, we prove that every automorphism of a graph…

math.GT2016

Recent Developments in Spatial Graph Theory

Erica Flapan, Thomas Mattman, Blake Mellor +2

This article presents a survey of some recent results in the theory of spatial graphs. In particular, we highlight results related to intrinsic knotting and linking and results abo…