8 citations · 8 across the 1 of their papers we have counts for
3 papers
Generating sets of Reidemeister moves of oriented singular links and quandles
Khaled Bataineh, Mohamed Elhamdadi, Mustafa Hajij +1
We give a generating set of the generalized Reidemeister moves for oriented singular links. We use it to introduce an algebraic structure arising from the study of oriented singula…
On Rational Knots and Links in the Solid Torus
Khaled Bataineh, Mohamed Elhamdadi, Mustafa Hajij
We introduce the notion of rational links in the solid torus. We show that rational links in the solid torus are fully characterized by rational tangles, and hence by the continued…
The Colored Jones Polynomial of Singular Knots
Khaled Bataineh, Mohamed Elhamdadi, Mustafa Hajij
We generalize the colored Jones polynomial to -valent graphs. This generalization is given as a sequence of invariants in which the first term is a one variable specialization o…