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An algorithm for constructing reduced alternating achiral knots

Because of interesting and useful geometric as well as topological properties, alternating knots (links) were regarded to have an important role in knot theory and 3-manifold theory. Many knots with crossing number less than 10 are alternating. It was the properties of alternating knots that enable...

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Main Author: Azram, Mohammad
Format: Conference or Workshop Item
Language:English
Published: 2013
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/30519/1/CIAM.pdf
http://irep.iium.edu.my/30519/
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spelling my.iium.irep.305192013-06-26T01:22:50Z http://irep.iium.edu.my/30519/ An algorithm for constructing reduced alternating achiral knots Azram, Mohammad QA Mathematics Because of interesting and useful geometric as well as topological properties, alternating knots (links) were regarded to have an important role in knot theory and 3-manifold theory. Many knots with crossing number less than 10 are alternating. It was the properties of alternating knots that enable the earlier knot tabulators to construct tables with relatively few mistakes or omissions. Graphs of knots (links) have been repeatedly employed in knot theory. This article is devoted to establish relationship between knots and planar graphs. This relationship not only enables us to investigate the relationship among the regions and crossings of a reduced alternating achiral knot but also their relationship to the vertices, edges and faces of the corresponding planar graphs.. Consequently we have established an algorithm to construct reduced alternating achiral knots (links) through the planar graphs. 2013 Conference or Workshop Item REM application/pdf en http://irep.iium.edu.my/30519/1/CIAM.pdf Azram, Mohammad (2013) An algorithm for constructing reduced alternating achiral knots. In: EASIAM – CIAM 2013, 18-20 June 2013, ITB. (Unpublished)
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Azram, Mohammad
An algorithm for constructing reduced alternating achiral knots
description Because of interesting and useful geometric as well as topological properties, alternating knots (links) were regarded to have an important role in knot theory and 3-manifold theory. Many knots with crossing number less than 10 are alternating. It was the properties of alternating knots that enable the earlier knot tabulators to construct tables with relatively few mistakes or omissions. Graphs of knots (links) have been repeatedly employed in knot theory. This article is devoted to establish relationship between knots and planar graphs. This relationship not only enables us to investigate the relationship among the regions and crossings of a reduced alternating achiral knot but also their relationship to the vertices, edges and faces of the corresponding planar graphs.. Consequently we have established an algorithm to construct reduced alternating achiral knots (links) through the planar graphs.
format Conference or Workshop Item
author Azram, Mohammad
author_facet Azram, Mohammad
author_sort Azram, Mohammad
title An algorithm for constructing reduced alternating achiral knots
title_short An algorithm for constructing reduced alternating achiral knots
title_full An algorithm for constructing reduced alternating achiral knots
title_fullStr An algorithm for constructing reduced alternating achiral knots
title_full_unstemmed An algorithm for constructing reduced alternating achiral knots
title_sort algorithm for constructing reduced alternating achiral knots
publishDate 2013
url http://irep.iium.edu.my/30519/1/CIAM.pdf
http://irep.iium.edu.my/30519/
_version_ 1643609888223395840
score 13.211869

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