15 citations · 30 across the 19 of their papers we have counts for
29 papers
Unknotting number and connected sums: The knots and
Mark Brittenham, Susan Hermiller
We show that the knots can be paired with a corresponding knot such that . As a consequence unknotting number fails to…
Unknotting number is not additive under connected sum
Mark Brittenham, Susan Hermiller
We give the first examples of a pair of knots , in the 3-sphere for which their unknotting numbers satisfy . This answers question 1.69(B) fro…
Formal conjugacy growth in graph products II
Laura Ciobanu, Susan Hermiller, Valentin Mercier
In this paper we give an algorithm for computing the conjugacy growth series for a right-angled Artin group, based on a natural language of minimal length conjugacy representatives…
The smooth 4-genus of (the rest of) the prime knots through 12 crossings
Mark Brittenham, Susan Hermiller
We compute the smooth 4-genera of the prime knots with 12 crossings whose values, as reported on the KnotInfo website, were unknown. This completes the calculation of the smooth 4-…
Formal conjugacy growth in graph products I
Laura Ciobanu, Susan Hermiller, Valentin Mercier
In this paper we give a recursive formula for the conjugacy growth series of a graph product in terms of the conjugacy growth and standard growth series of subgraph products. We al…
Automaticity for graphs of groups
Susan Hermiller, Derek F Holt, Tim Susse +1
In this article we construct asynchronous and sometimes synchronous automatic structures for amalgamated products and HNN extensions of groups that are strongly asynchronously (or…