36 citations · 56 across the 3 of their papers we have counts for
3 papers
math.GT2016
Algebraic Properties of Quandle Extensions and Values of Cocycle Knot Invariants
W. Edwin Clark, Masahico Saito
Quandle 2-cocycles define invariants of classical and virtual knots, and extensions of quandles. We show that the quandle 2-cocycle invariant with respect to a non-trivial -cocy…
math.GT2014★ 20 cited
Quandle coloring and cocycle invariants of composite knots and abelian extensions
W. Edwin Clark, M. Saito, L. Vendramin
Quandle colorings and cocycle invariants are studied for composite knots, and applied to chirality and abelian extensions. The square and granny knots, for example, can be distingu…
math.GT2014★ 36 cited
Quandle Colorings of Knots and Applications
W. Edwin Clark, Mohamed Elhamdadi, Masahico Saito +1
We present a set of 26 finite quandles that distinguish (up to reversal and mirror image) by number of colorings, all of the 2977 prime oriented knots with up to 12 crossings. We a…