6 citations · 14 across the 17 of their papers we have counts for
3 papers · 1 filter
Describing realizable Gauss diagrams using the concepts of parity or bipartate graphs
Alexei Lisitsa, Viktor Lopatkin, Alexei Vernitski
Two recent publications describe realizable Gauss diagrams using conditions stating that the number of chords in certain sets of chords is even or odd. We demonstrate that these de…
An application of neural networks to a problem in knot theory and group theory (untangling braids)
Alexei Lisitsa, Mateo Salles, Alexei Vernitski
We report on our success on solving the problem of untangling braids up to length 20 and width 4. We use feed-forward neural networks in the framework of reinforcement learning to…
Orientation-preserving and orientation-reversing mappings: a new description
Peter M. Higgins, Alexei Vernitski
We characterise the respective semigroups of mappings that preserve, or that preserve or reverse orientation of a finite cycle, in terms of their actions on oriented triples and or…