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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9503| Title: | Isolated regions of a link projection |
| Authors: | MAHATO, TUMPA Shimizu, Ayaka Dept. of Mathematics |
| Keywords: | Isolate-region number Isolated regions Link projection Warping degree 2024 |
| Issue Date: | Nov-2024 |
| Publisher: | World Scientific |
| Citation: | Journal of Knot Theory and Its Ramifications, 33(13). |
| 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. |
| URI: | https://doi.org/10.1142/S0218216524500421 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9503 |
| ISSN: | 0218-2165 1793-6527 |
| Appears in Collections: | JOURNAL ARTICLES |
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