35 citations · 57 across the 24 of their papers we have counts for
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math.GT2020★ 2 cited
The Ropelength of Special Alternating Knots
Yuanan Diao
A long standing open conjecture states that if a link is alternating, then its ropelength is at least of the order . A recent res…
math.GT2020
Writhe-like invariants of alternating links
Yuanan Diao, Van Pham
It is known that the writhe calculated from any reduced alternating link diagram of the same (alternating) link has the same value. That is, it is a link invariant if we restrict o…
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…