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math.GT2025
A new unknotting operation for classical and welded links
Danish Ali, Zhiqing Yang, Mohd Ibrahim Sheikh +1
Any knot diagram can be transformed into the unknot by a series of unknotting operations. This paper introduces the diagonal move, a novel unknotting operation that generalizes and…
math.GT2025
A generating set of Reidemeister moves of oriented virtual knots
Danish Ali
In oriented knot theory, verifying a quantity is an invariant involves checking its invariance under all oriented Reidemeister moves, a process that can be intricate and time-consu…
math.GT2025
The H(n)-move is an unknotting operation for virtual and welded links
Danish Ali, Zhiqing Yang, Abid Hussain +1
An unknotting operation is a local move such that any knot diagram can be transformed into a diagram of the trivial knot by a finite sequence of these operations plus some Reidemei…