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/ http://irep.iium.edu.my/30519/1/CIAM.pdf

id	iium-30519
recordtype	eprints
spelling	iium-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 PeerReviewed 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 (Unpublished)
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
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/ http://irep.iium.edu.my/30519/1/CIAM.pdf
first_indexed	2023-09-18T20:44:41Z
last_indexed	2023-09-18T20:44:41Z
_version_	1777409595865563136

An algorithm for constructing reduced alternating achiral knots

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