Isolated regions of a link projection

Shimizu, Ayaka; MAHATO, TUMPA

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dc.contributor.author	MAHATO, TUMPA	en_US
dc.contributor.author	Shimizu, Ayaka	en_US
dc.date.accessioned	2025-04-15T06:50:32Z
dc.date.available	2025-04-15T06:50:32Z
dc.date.issued	2024-11	en_US
dc.identifier.citation	Journal of Knot Theory and Its Ramifications, 33(13).	en_US
dc.identifier.issn	0218-2165	en_US
dc.identifier.issn	1793-6527	en_US
dc.identifier.uri	https://doi.org/10.1142/S0218216524500421	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9503
dc.description.abstract	A set of regions of a link projection is said to be isolated if any pair of regions in the set share no crossings. The isolate-region number of a link projection is the maximum value of the cardinality for isolated sets of regions of the link projection. In this paper, all the link projections of isolate-region number one are determined. Also, estimations for welded unknotting number and a combinatorial way to find the isolate-region number are discussed, and a formula of the generating function of isolated-region sets is given for the standard projections of (2,n)(2,n)-torus links.	en_US
dc.language.iso	en	en_US
dc.publisher	World Scientific	en_US
dc.subject	Isolate-region number	en_US
dc.subject	Isolated regions	en_US
dc.subject	Link projection	en_US
dc.subject	Warping degree	en_US
dc.subject	2024	en_US
dc.title	Isolated regions of a link projection	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Knot Theory and Its Ramifications	en_US
dc.publication.originofpublisher	Foreign	en_US