4 citations · 10 across the 13 of their papers we have counts for
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Enhancement of the Coloring Invariant for Folded Molecular Chains
Jose Ceniceros, Mohamed Elhamdadi, Alireza Mashaghi
Folded linear molecular chains are ubiquitous in biology. Folding is mediated by intra-chain interactions that "glue" two or more regions of a chain. The resulting fold topology is…
Cocycle Invariants and Oriented Singular Knots
Jose Ceniceros, Indu R. Churchill, Mohamed Elhamdadi +1
We extend the quandle cocycle invariant to oriented singular knots and links using algebraic structures called \emph{oriented singquandles} and assigning weight functions at both r…
Polynomial Invariants of Singular Knots and links
Jose Ceniceros, Indu R. Churchill, Mohamed Elhamdadi
We generalize the notion of the quandle polynomial to the case of singquandles. We show that the singquandle polynomial is an invariant of finite singquandles. We also construct a…
Cocycle Enhancements of Psyquandle Counting Invariants
Jose Ceniceros, Sam Nelson
We bring cocycle enhancement theory to the case of psyquandles. Analogously to our previous work on virtual biquandle cocycle enhancements, we define enhancements of the psyquandle…