4 papers
Computability of digital cubical singular homology of -digital images
Samira Sahar Jamil, P Christopher Staecker, Danish Ali
Discrete cubical homology arose as the homology theory associated with discrete cubical homotopy theory. Despite the combinatorial nature of this homology, its computation has pose…
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…
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…
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…