Achirality via graphs

This article is devoted to establish relationship between knots and planar graphs. This relationship enables us to investigate the total number of regions and their relationship with corresponding crossings in a reduced alternating achiral knot. It has been shown that the number of regions in a redu...

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Main Author: Azram, Mohammad
Format: Article
Language:English
Published: Pushpa Publishing House 2010
Subjects:
Online Access:http://irep.iium.edu.my/1832/
http://irep.iium.edu.my/1832/1/034955090485.pdf
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author Azram, Mohammad
author_facet Azram, Mohammad
author_sort Azram, Mohammad
building IIUM Repository
collection Online Access
description This article is devoted to establish relationship between knots and planar graphs. This relationship enables us to investigate the total number of regions and their relationship with corresponding crossings in a reduced alternating achiral knot. It has been shown that the number of regions in a reduced alternating achiral knot is always even and the number of crossing is always two less than the number of regions. Finally, we establish necessary conditions for achirality.
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institution International Islamic University Malaysia
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language English
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spelling iium-18322011-12-09T03:49:54Z http://irep.iium.edu.my/1832/ Achirality via graphs Azram, Mohammad QA Mathematics This article is devoted to establish relationship between knots and planar graphs. This relationship enables us to investigate the total number of regions and their relationship with corresponding crossings in a reduced alternating achiral knot. It has been shown that the number of regions in a reduced alternating achiral knot is always even and the number of crossing is always two less than the number of regions. Finally, we establish necessary conditions for achirality. Pushpa Publishing House 2010 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1832/1/034955090485.pdf Azram, Mohammad (2010) Achirality via graphs. Far East Journal of Mathematical Sciences (FJMS), 38 (1). pp. 49-55. ISSN 0972-0871 http://www.pphmj.com/journals/fjms.htm
spellingShingle QA Mathematics
Azram, Mohammad
Achirality via graphs
title Achirality via graphs
title_full Achirality via graphs
title_fullStr Achirality via graphs
title_full_unstemmed Achirality via graphs
title_short Achirality via graphs
title_sort achirality via graphs
topic QA Mathematics
url http://irep.iium.edu.my/1832/
http://irep.iium.edu.my/1832/
http://irep.iium.edu.my/1832/1/034955090485.pdf