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Equivalence of dual graphs

Abstract—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...

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Main Author: Azram, Mohammad
Format: Conference or Workshop Item
Language:English
English
Published: 2013
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/30520/1/ICEMP.pdf
http://irep.iium.edu.my/30520/4/Sri_Lanka_Conference_program%28full_version%29.pdf
http://irep.iium.edu.my/30520/
http://www.icemp.org/
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spelling my.iium.irep.305202013-09-12T01:11:21Z http://irep.iium.edu.my/30520/ Equivalence of dual graphs Azram, Mohammad QA Mathematics Abstract—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 see the equivalence of the graphs corresponding to black regions and the dual graph corresponding to white regions. 2013 Conference or Workshop Item REM application/pdf en http://irep.iium.edu.my/30520/1/ICEMP.pdf application/pdf en http://irep.iium.edu.my/30520/4/Sri_Lanka_Conference_program%28full_version%29.pdf Azram, Mohammad (2013) Equivalence of dual graphs. In: 2013 2nd International Conference on Engineering Mathematics and Physics (ICEMP 2013), 15-16 June, 2013, Colombo, Sri Lanka. (Unpublished) http://www.icemp.org/
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
English
topic QA Mathematics
spellingShingle QA Mathematics
Azram, Mohammad
Equivalence of dual graphs
description Abstract—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 see the equivalence of the graphs corresponding to black regions and the dual graph corresponding to white regions.
format Conference or Workshop Item
author Azram, Mohammad
author_facet Azram, Mohammad
author_sort Azram, Mohammad
title Equivalence of dual graphs
title_short Equivalence of dual graphs
title_full Equivalence of dual graphs
title_fullStr Equivalence of dual graphs
title_full_unstemmed Equivalence of dual graphs
title_sort equivalence of dual graphs
publishDate 2013
url http://irep.iium.edu.my/30520/1/ICEMP.pdf
http://irep.iium.edu.my/30520/4/Sri_Lanka_Conference_program%28full_version%29.pdf
http://irep.iium.edu.my/30520/
http://www.icemp.org/
_version_ 1643609888567328768
score 13.211869

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