3 citations · 3 across the 4 of their papers we have counts for
11 papers
On the arc index and Turaev genus of a link
Álvaro Del Valle Vílchez, Adam M. Lowrance
We compute the arc index of an adequate link and establish bounds on the arc index of the closure of a positive 3-braid. We also conjecture an inequality between the crossing numbe…
A characterization of adequate Turaev genus one links
Khaled Qazaqzeh, Nafaa Chbili, Adam M. Lowrance
We prove that a link is adequate and has Turaev genus one if and only if the span of its Jones polynomial is one less than its crossing number.
Average crosscap number of a 2-bridge knot
Moshe Cohen, Thomas Kindred, Adam M. Lowrance +2
We determine a simple condition on a particular state graph of an alternating knot or link diagram that characterizes when the unoriented genus and crosscap number coincide, extend…
Average signature and 4-genus of 2-bridge knots
Moshe Cohen, Adam M. Lowrance, Neal Madras +1
We show that the average or expected absolute value of the signatures of all 2-bridge knots with crossing number approaches . Baader, Kjuchukova, Lewark, Misev,…
The distribution of braid indices of 2-bridge knots
Tobias Clark, Jeremy Frank, Adam M. Lowrance
In this article we study the braid indices of 2-bridge knots with a fixed crossing number . We show that the average braid index of the set of -bridge knots of crossing numbe…
The distribution of genera of 2-bridge knots
Moshe Cohen, Abigail DiNardo, Adam M. Lowrance +4
The average genus of a 2-bridge knot with crossing number approaches as approaches infinity, as proven by Suzuki and Tran and independently Coh…