Knots and colorability
We have established that tricolourability would be a way of distinguishing some of knots(links) by showing that tricolorability is an ambient isotopy invariant. We have extended the notion of tricolorability to colorability of knot(link) and have shown that colorability of knot (link) is also an amb...
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| Format: | Article |
| Language: | English |
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INSInet Publications
2012
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| Online Access: | http://irep.iium.edu.my/17844/ http://irep.iium.edu.my/17844/1/76-79.pdf |
| _version_ | 1848778119621640192 |
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| author | Azram, Mohammad |
| author_facet | Azram, Mohammad |
| author_sort | Azram, Mohammad |
| building | IIUM Repository |
| collection | Online Access |
| description | We have established that tricolourability would be a way of distinguishing some of knots(links) by showing that tricolorability is an ambient isotopy invariant. We have extended the notion of tricolorability to colorability of knot(link) and have shown that colorability of knot (link) is also an ambient isotopy invariant. We have shown that no knot is colorable mod 2 but instead every link with
more than one component is colorable mod 2. We have also established that bridge number of a knot is always one. |
| first_indexed | 2025-11-14T14:56:49Z |
| format | Article |
| id | iium-17844 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:56:49Z |
| publishDate | 2012 |
| publisher | INSInet Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-178442012-06-12T07:04:48Z http://irep.iium.edu.my/17844/ Knots and colorability Azram, Mohammad QA Mathematics We have established that tricolourability would be a way of distinguishing some of knots(links) by showing that tricolorability is an ambient isotopy invariant. We have extended the notion of tricolorability to colorability of knot(link) and have shown that colorability of knot (link) is also an ambient isotopy invariant. We have shown that no knot is colorable mod 2 but instead every link with more than one component is colorable mod 2. We have also established that bridge number of a knot is always one. INSInet Publications 2012-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/17844/1/76-79.pdf Azram, Mohammad (2012) Knots and colorability. Australian Journal of Basic and Applied Sciences, 6 (2). pp. 76-79. ISSN 1991-8178 http://www.ajbasweb.com/ajbas_february_2012.html |
| spellingShingle | QA Mathematics Azram, Mohammad Knots and colorability |
| title | Knots and colorability |
| title_full | Knots and colorability |
| title_fullStr | Knots and colorability |
| title_full_unstemmed | Knots and colorability |
| title_short | Knots and colorability |
| title_sort | knots and colorability |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/17844/ http://irep.iium.edu.my/17844/ http://irep.iium.edu.my/17844/1/76-79.pdf |