15 citations · 31 across the 4 of their papers we have counts for
Showing 2018 · math.GTShow all
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math.GT2018★ 3 cited
On the Structure and Scarcity of Alternating Knots
Harrison Chapman
Given a class of objects, a pattern theorem is a powerful result describing their structure. We show that alternating knots exhibit a pattern theorem, and use this result to prove…
math.GT2018★ 1 cited
Slipknotting in Random Diagrams
Harrison Chapman
The presence of slipknots in configurations of proteins and DNA has been shown to affect their functionality, or alter it entirely. Historically, polymers are modeled as polygonal…