Polynomial Unknotting and Singularity Index.

dc.contributor.author	MISHRA, RAMA	en_US
dc.date.accessioned	2019-02-14T05:46:12Z
dc.date.available	2019-02-14T05:46:12Z
dc.date.issued	2013-06	en_US
dc.identifier.citation	Kyungpook Mathematical Journal, 54(2), 271-292.	en_US
dc.identifier.issn	1225-6951	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1754
dc.identifier.uri	https://doi.org/10.5666/KMJ.2014.54.2.271	en_US
dc.description.abstract	We introduce a new method to transform a knot diagram into a diagram of an unknot using a polynomial representation of the knot. Here the unknotting sequence of a knot diagram with least number of crossing changes can be realized by a family of polynomial maps. The number of singular knots in this family is defined to be the singularity index of the diagram. We show that the singularity index of a diagram is always less than or equal to its unknotting number.	en_US
dc.language.iso	en	en_US
dc.publisher	Department of Mathematics, Kyungpook National University	en_US
dc.subject	Polynomials	en_US
dc.subject	Mathematical singularities	en_US
dc.subject	Transformations (mathematics)	en_US
dc.subject	Mathematical sequences	en_US
dc.subject	Double point	en_US
dc.subject	Immersion	en_US
dc.subject	Unknotting number	en_US
dc.subject	2013	en_US
dc.title	Polynomial Unknotting and Singularity Index.	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Kyungpook Mathematical Journal	en_US
dc.publication.originofpublisher	Foreign	en_US