30 citations · 184 across the 89 of their papers we have counts for
5 papers · 1 filter
Marked Graph Mosaics
Seonmi Choi, Sam Nelson
We consider the notion of mosaic diagrams for surface-links using marked graph diagrams. We establish bounds, in some cases tight, on the mosaic numbers for the surface-links with…
Biquandle Arrow Weight Enhacements
Sam Nelson, Migiwa Sakurai
We introduce a new infinite family of enhancements of the biquandle homset invariant called biquandle arrow weights. These invariants assign weights in an abelian group to intersec…
Bilinear Enhancements of Quandle Invariants
Will Gilroy, Sam Nelson
We enhance the quandle counting invariants of oriented classical and virtual knots and links using a construction similar to quandle modules but inspired by symplectic quandle oper…
Bikei Module Invariants of Unoriented Surface-Links
Yewon Joung, Sam Nelson
We extend our previous work from arXiv:1903.06863 on biquandle module invariants of oriented surface-links to the case of unoriented surface-links using bikei modules. The resultin…
-Tribrackets and Link Homotopy
Eric Chavez, Sam Nelson
We define a type of Niebrzydowski tribracket we call -tribrackets and show that their counting invariants are invariants of link-homotopy. We further identify several classes of…