66 citations · 269 across the 60 of their papers we have counts for
72 papers
TopoU-Net: a U-Net architecture for topological domains
Gaurav Gaurav, Ibrahem ALJabea, Yaroslav Zakomornyy +4
Many modern datasets mix points, edges, regions, groups, objects, events, hyperedges, and relations. Yet neural architectures often force such data into grids, graphs, or sequences…
Generalized Quandle Polynomials and Their Applications to Stuquandles, Stuck Links, and RNA Folding
Ekaterina Bondarenko, Jose Ceniceros, Mohamed Elhamdadi +1
We introduce a generalization of the quandle polynomial. We prove that our polynomial is an invariant of stuquandles. Furthermore, we use the invariant of stuquandles to define a p…
Planar Equivalence of Knotoids and Quandle Invariants
Mohamed Elhamdadi, Wout Moltmaker, Masahico Saito
While knotoids on the sphere are well-understood by a variety of invariants, knotoids on the plane have proven more subtle to classify due to their multitude over knotoids on the s…
Quandle Coloring Quivers of general Torus links by dihedral quandles
Mohamed Elhamdadi, Brooke Jones, Minghui Liu
We completely characterize the coloring quivers of general torus links by dihedral quandles by first exhausting all possible numbers of colorings, followed by determining the inter…
State sum invariants of knots from idempotents in quandle rings
Mohamed Elhamdadi, Dipali Swain
We use idempotents in quandle rings in combination with the state sum invariants of knots to distinguish all of the 12965 prime oriented knots up to 13 crossings using only 21 conn…
Oriented Disingquandles and Invariants of Oriented Dichromatic Singular links
Mohd Ibrahim Sheikh, Mohamed Elhamdadi, Danish Ali
We introduce and investigate oriented dichromatic singular links. We also introduce oriented disingquandles and use them to define counting invariants for oriented dichromatic sing…