Achirality via graphs

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

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Main Author: Azram, Mohammad
Format: Conference or Workshop Item
Language:English
Published: 2010
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Online Access:http://irep.iium.edu.my/12136/1/IRIIE_%28Graph%29.pdf
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spelling my.iium.irep.121362011-12-23T23:33:53Z http://irep.iium.edu.my/12136/ 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 numbers of regions and their relationship with corresponding crossings in a reduced alternating achiral knot. It has been shown that the numbers 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 were able to establish necessary conditions for achirality 2010 Conference or Workshop Item REM application/pdf en http://irep.iium.edu.my/12136/1/IRIIE_%28Graph%29.pdf Azram, Mohammad (2010) Achirality via graphs. In: IIUM Research, Invention and Innovation Exhibition 2010 , 26-27th Jan, 2010, CAC, IIUM. (Unpublished) http://www.iium.edu.my/irie/10/sub10/author/list_p.php
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
Achirality via graphs
description This article is devoted to establish relationship between knots and planar graphs. This relationship enables us to investigate the total numbers of regions and their relationship with corresponding crossings in a reduced alternating achiral knot. It has been shown that the numbers 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 were able to establish necessary conditions for achirality
format Conference or Workshop Item
author Azram, Mohammad
author_facet Azram, Mohammad
author_sort Azram, Mohammad
title Achirality via graphs
title_short Achirality via graphs
title_full Achirality via graphs
title_fullStr Achirality via graphs
title_full_unstemmed Achirality via graphs
title_sort achirality via graphs
publishDate 2010
url http://irep.iium.edu.my/12136/1/IRIIE_%28Graph%29.pdf
http://irep.iium.edu.my/12136/
http://www.iium.edu.my/irie/10/sub10/author/list_p.php
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score 13.160551