5 citations · 5 across the 12 of their papers we have counts for
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math.GT2017
Up-down colorings of virtual-link diagrams and the necessity of Reidemeister moves of type II
Kanako Oshiro, Ayaka Shimizu, Yoshiro Yaguchi
We introduce an up-down coloring of a virtual-link diagram. The colorabilities give a lower bound of the minimum number of Reidemeister moves of type II which are needed between tw…
math.GT2017★ 5 cited
Biquandle Virtual Brackets
Sam Nelson, Kanako Oshiro, Ayaka Shimizu +1
We introduce an infinite family of quantum enhancements of the biquandle counting invariant we call biquandle virtual brackets. Defined in terms of skein invariants of biquandle co…