6 citations · 12 across the 8 of their papers we have counts for
8 papers
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…
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…
A G-Family of Singquandles and Invariants of Dichromatic Singular links
Mohd Ibrahim Sheikh, Mohamed Elhamdadi, Danish Ali
We introduce and investigate dichromatic singular links. We also construct G-Family of singquandles and use them to define counting invariants for unoriented dichromatic singular l…
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…
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…
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…
Digital Hurewicz Theorem and Digital Homology Theory
Samira Sahar Jamil, Danish Ali
In this paper, we develop homology groups for digital images based on cubical singular homology theory for topological spaces. Using this homology, we present digital Hurewicz theo…
Compatible almost complex structures on twistor spaces and their Gray-Hervella classes
Danish Ali, Johann Davidov, Oleg Mushkarov
In this paper we determine the Gray-Hervella classes of the compatible almost complex structures on the twistor spaces of oriented Riemannian four-manifolds considered by G. Descha…