29 citations · 204 across the 36 of their papers we have counts for
38 papers
Neighbors of knots in the Gordian graph
Ryan Blair, Marion Campisi, Jesse Johnson +2
We show that every knot is one crossing change away from a knot of arbitrarily high bridge number and arbitrarily high bridge distance.
Bridge numbers of knots in the page of an open book
R. Sean Bowman, Jesse Johnson
Given any closed, connected, orientable --manifold and integers , we show the existence of knots in whose genus bridge number is greater than . The…
Bounds for the genus of a normal surface
William Jaco, Jesse Johnson, Jonathan Spreer +1
This paper gives sharp linear bounds on the genus of a normal surface in a triangulated compact, orientable 3--manifold in terms of the quadrilaterals in its cell decomposition---d…
An application of topological graph clustering to protein function prediction
R. Sean Bowman, Douglas Heisterkamp, Jesse Johnson +1
We use a semisupervised learning algorithm based on a topological data analysis approach to assign functional categories to yeast proteins using similarity graphs. This new approac…
Thin Tree Position
R. Sean Bowman, Douglas R. Heisterkamp, Jesse Johnson
We introduce a method for creating a special type of tree, called a tree position, from a weighted graph. Leaves of the tree correspond to vertices of the original graph, and the t…
Bridge distance and plat projections
Jesse Johnson, Yoav Moriah
We calculate the bridge distance for -bridge knots/links in the -sphere with sufficiently complicated -plat projections. In particular we show that if the underlying brai…