2024/12/08 by Aspinwall, Charlotte, Clark, Tobias, Diao, Yuanan
#(2020): Primary: 57K10 #FOS: Mathematics #Geometric Topology (math.GT) #Secondary: 57K14
paper · doi:10.48550/arxiv.2412.06103
In this paper, we tabulate the set of alternating pretzel links. Specifically, for any given crossing number c, we derive a closed formula that would allow us to compute P(c), the total number of alternating pretzel links with crossing number c. Numerical computation suggests that P(c)≈ 0.155e0.588c. That is, the number of alternating pretzel links with a given crossing number c grows exponentially in terms of c.