Tied Pseudo Links & Pseudo Knotoids

In this paper, we study the theory of pseudo knots, which are knots with some missing crossing information, and introduce tied links knotoids. particular, first present a braiding algorithm for then L-moves in that setting, use formulate sharpened version analogue Markov theorem braids. Then, links, generalize notion exploit relation between singular links. We an L-move braid equivalence monoid prove analogues Alexander theorems Finally, knotoids, isotopy knotoids pass to level braidoids. further braidoids by introducing presenting also discuss research related (multi)-knotoids (multi)-knotoids. The may serve as strong tool DNA, while have potential other aspects molecular biology.