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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| Format: | Proceeding Paper |
| Language: | English English |
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2013
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| 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 |
| _version_ | 1825647336399831040 |
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| author | Azram, Mohammad |
| author_facet | Azram, Mohammad |
| author_sort | Azram, Mohammad |
| collection | IIUM |
| 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. |
| first_indexed | 2024-03-05T23:16:07Z |
| format | Proceeding Paper |
| id | oai:generic.eprints.org:30520 |
| institution | International Islamic University Malaysia |
| language | English English |
| last_indexed | 2024-03-05T23:16:07Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | oai:generic.eprints.org: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 Proceeding Paper PeerReviewed 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/ |
| spellingShingle | QA Mathematics Azram, Mohammad Equivalence of dual graphs |
| title | Equivalence of dual graphs |
| title_full | Equivalence of dual graphs |
| title_fullStr | Equivalence of dual graphs |
| title_full_unstemmed | Equivalence of dual graphs |
| title_short | Equivalence of dual graphs |
| title_sort | equivalence of dual graphs |
| topic | QA Mathematics |
| 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 |
| work_keys_str_mv | AT azrammohammad equivalenceofdualgraphs |