@Article{CMR-25-5, author = {Taizo, Kanenobu and Yasuyuki, Miyazawa}, title = {$H(2)$-Unknotting Number of a Knot}, journal = {Communications in Mathematical Research }, year = {2009}, volume = {25}, number = {5}, pages = {433--460}, abstract = {

An $H(2)$-move is a local move of a knot which is performed by adding a half-twisted band. It is known an $H(2)$-move is an unknotting operation. We define the $H(2)$-unknotting number of a knot $K$ to be the minimum number of $H(2)$-moves needed to transform K into a trivial knot. We give several methods to estimate the $H(2)$-unknotting number of a knot. Then we give tables of $H(2)$-unknotting numbers of knots with up to 9 crossings.

}, issn = {2707-8523}, doi = {https://doi.org/2009-CMR-19362}, url = {https://global-sci.com/article/81968/h2-unknotting-number-of-a-knot} }