5 citations · 10 across the 6 of their papers we have counts for
6 papers
Linking number of monotonic cycles in random book embeddings of complete graphs
Yasmin Aguillon, Eric Burkholder, Xingyu Cheng +5
A book embedding of a complete graph is a spatial embedding whose planar projection has the vertices located along a circle, consecutive vertices are connected by arcs of the circl…
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 is 9 and of is 12 or 13. We use our results about to show that…
Deformations of reducible SL(n,C) representations of fibered 3-manifold groups
Kenji Kozai
Let be a surface bundle over a circle with monodromy . We study deformations of certain reducible representations of into $\text{SL}(n,\mathbb{C…
Linking number and writhe in random linear embeddings of graphs
Erica Flapan, Kenji Kozai
In order to model entanglements of polymers in a confined region, we consider the linking numbers and writhes of cycles in random linear embeddings of complete graphs in a cube. Ou…
Hyperbolic structures from Sol on pseudo-Anosov mapping tori
Kenji Kozai
The invariant measured foliations of a pseudo-Anosov homeomorphism induce a natural (singular) Sol structure on mapping tori of surfaces with pseudo-Anosov monodromy. We show that…
Intrinsically Linked Graphs in Projective Space
Joel Foisy, Jason Bustamante, Jared Federman +5
We examine graphs that contain a non-trivial link in every embedding into real projective space, using a weaker notion of unlink than was used by Flapan, et al. We call such graphs…