5 citations · 11 across the 11 of their papers we have counts for
13 papers
Splittings of Tangles and Spatial Graphs
Erica Flapan, Hugh Howards
Menasco proved the surprising result that if is a reduced, alternating, connected projection of a link and is prime then is prime. This result has been generalized…
An infinite family of knots whose hexagonal mosaic number is only realized in non-reduced projections
Hugh Howards, Jiong Li, Xiaotian Liu +1
We give an infinite family of knots such that for any given , the family contains a knot which can be embedded on a hexagonal -mosaic, but cannot fit on a hexagonal $r…
Forming the Borromean Rings out of arbitrary polygonal unknots
Hugh Howards
We prove the perhaps surprising result that given any three polygonal unknots in , then we may form the Borromean rings out of them through rigid motions of applied to…
Intrinsic Chirality of Graphs in 3-manifolds
Erica Flapan, Hugh Howards
The main result of this paper is that for every closed, connected, orientable, irreducible 3-manifold , there is an integer such that any abstract graph with no automorph…
Crossing Number Bound in Knot Mosaics
Hugh Howards, Andrew Kobin
Knot mosaics are used to model physical quantum states. The mosaic number of a knot is the smallest integer such that the knot can be represented as a knot -mosaic. In this…
An infinite family of convex Brunnian links in
Robert Davis, Hugh Howards, Jonathan Newman +1
This paper proves that convex Brunnian links exist for every dimension by constructing explicit examples. These examples are three-component links which are higher-dimen…