9 citations · 16 across the 3 of their papers we have counts for
4 papers
A lower bound for the number of Reidemeister moves of type III
J. Scott Carter, Mohamed Elhamdadi, Masahico Saito +1
We study the number of Reidemeister type III moves using Fox n-colorings of knot diagrams.
Cocycle Knot Invariants from Quandle Modules and Generalized Quandle Cohomology
J. Scott Carter, Mohamed Elhamdadi, Matias Graña +1
Three new knot invariants are defined using cocycles of the generalized quandle homology theory that was proposed by Andruskiewitsch and Graña. We specialize that theory to the cas…
Homology Theory for the Set-Theoretic Yang-Baxter Equation and Knot Invariants from Generalizations of Quandles
J. Scott Carter, Mohamed Elhamdadi, Masahico Saito
A homology theory is developed for set-theoretic Yang-Baxter equations, and knot invariants are constructed by generalized colorings by biquandles and Yang-Baxter cocycles.
Extensions of Quandles and Cocycle Knot Invariants
J. Scott Carter, Mohamed Elhamdadi, Marina Appiou Nikiforou +1
Quandle cocycles are constructed from extensions of quandles. The theory is parallel to that of group cohomology and group extensions. An interpretation of quandle cocycle invarian…