Equivalence of dual graphs
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 ena...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
International Association of Computer Science and Information Technology Press (IACSIT)
2013
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/30518/ http://irep.iium.edu.my/30518/ http://irep.iium.edu.my/30518/1/222-P2008.pdf |
| id |
iium-30518 |
|---|---|
| recordtype |
eprints |
| spelling |
iium-305182013-09-10T08:20:40Z http://irep.iium.edu.my/30518/ Equivalence of dual graphs 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 see the equivalence of the graphs corresponding to black regions and the dual graph corresponding to white regions. International Association of Computer Science and Information Technology Press (IACSIT) 2013-07 Article PeerReviewed application/pdf en http://irep.iium.edu.my/30518/1/222-P2008.pdf Azram, Mohammad (2013) Equivalence of dual graphs. International Journal of Applied Physics and Mathematics, 3 (4). pp. 286-288. ISSN 2010-362X http://www.ijapm.org/list-38-1.html |
| 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 Equivalence of dual graphs |
| 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 see the equivalence of the graphs corresponding to black regions and the dual graph corresponding to white regions. |
| format |
Article |
| 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 |
| publisher |
International Association of Computer Science and Information Technology Press (IACSIT) |
| publishDate |
2013 |
| url |
http://irep.iium.edu.my/30518/ http://irep.iium.edu.my/30518/ http://irep.iium.edu.my/30518/1/222-P2008.pdf |
| first_indexed |
2023-09-18T20:44:41Z |
| last_indexed |
2023-09-18T20:44:41Z |
| _version_ |
1777409595716665344 |