2 papers
math.GT2022
The average genus of oriented rational links with a given crossing number
Dawn Ray, Yuanan Diao
In this paper, we enumerate the number of oriented rational knots and the number of oriented rational links with any given crossing number and minimum genus. This allows us to obta…
math.GT2020
The number of oriented rational links with a given deficiency number
Yuanan Diao, Michael Finney, Dawn Ray
Let be the set of un-oriented and rational links with crossing number , a precise formula for was obtained by Ernst and Sumners in 1987. In this paper, we study th…