Single-row transformation of complete graphs
A complete graph is a fully-connected graph where every node is adjacent to all other nodes in the graph. Very often, many applications in science and engineering are reducible to this type of graph. Hence, a simplified form of a complete graph contributes in providing the solutions to these problem...
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| Format: | Article |
| Language: | en |
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Springer
2005
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| Online Access: | http://eprints.utm.my/7532/1/Salleh_Shaharuddin_2005_Single-Row_Transformation_Complete_Graphs.pdf http://eprints.utm.my/7532/ http://dx.doi.org/10.1007/s11227-005-0184-4 |
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| author | Salleh, Shahruddin Hussain Olariu, Stephan Sanugi, Bahrom Aziz, Mohd Ismail Abd |
| author_facet | Salleh, Shahruddin Hussain Olariu, Stephan Sanugi, Bahrom Aziz, Mohd Ismail Abd |
| author_sort | Salleh, Shahruddin Hussain |
| building | UTM Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Malaysia |
| content_source | UTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | A complete graph is a fully-connected graph where every node is adjacent to all other nodes in the graph. Very often, many applications in science and engineering are reducible to this type of graph. Hence, a simplified form of a complete graph contributes in providing the solutions to these problems. In this paper, we present a technique for transforming a complete graph into a single-row routing problem. Single-row routing is a classical technique in the VLSI design that is known to be NP-complete. We solved this problem earlier using a method called ESSR, and, the same technique is applied to the present work to transform a complete graph into its single-row routing representation. A parallel computing model is proposed which contributes in making the problem modular and scalable. We also discuss the application of this work on the channel assignment problem in the wireless cellular telephone networks. |
| format | Article |
| id | my.utm.eprints-7532 |
| institution | Universiti Teknologi Malaysia |
| language | en |
| publishDate | 2005 |
| publisher | Springer |
| record_format | eprints |
| spelling | my.utm.eprints-75322010-06-01T15:53:10Z http://eprints.utm.my/7532/ Single-row transformation of complete graphs Salleh, Shahruddin Hussain Olariu, Stephan Sanugi, Bahrom Aziz, Mohd Ismail Abd QA75 Electronic computers. Computer science A complete graph is a fully-connected graph where every node is adjacent to all other nodes in the graph. Very often, many applications in science and engineering are reducible to this type of graph. Hence, a simplified form of a complete graph contributes in providing the solutions to these problems. In this paper, we present a technique for transforming a complete graph into a single-row routing problem. Single-row routing is a classical technique in the VLSI design that is known to be NP-complete. We solved this problem earlier using a method called ESSR, and, the same technique is applied to the present work to transform a complete graph into its single-row routing representation. A parallel computing model is proposed which contributes in making the problem modular and scalable. We also discuss the application of this work on the channel assignment problem in the wireless cellular telephone networks. Springer 2005-03 Article PeerReviewed application/pdf en http://eprints.utm.my/7532/1/Salleh_Shaharuddin_2005_Single-Row_Transformation_Complete_Graphs.pdf Salleh, Shahruddin Hussain and Olariu, Stephan and Sanugi, Bahrom and Aziz, Mohd Ismail Abd (2005) Single-row transformation of complete graphs. Journal of Supercomputer, 31 (3). pp. 265-279. http://dx.doi.org/10.1007/s11227-005-0184-4 10.1007/s11227-005-0184-4 |
| spellingShingle | QA75 Electronic computers. Computer science Salleh, Shahruddin Hussain Olariu, Stephan Sanugi, Bahrom Aziz, Mohd Ismail Abd Single-row transformation of complete graphs |
| title | Single-row transformation of complete graphs |
| title_full | Single-row transformation of complete graphs |
| title_fullStr | Single-row transformation of complete graphs |
| title_full_unstemmed | Single-row transformation of complete graphs |
| title_short | Single-row transformation of complete graphs |
| title_sort | single-row transformation of complete graphs |
| topic | QA75 Electronic computers. Computer science |
| url | http://eprints.utm.my/7532/1/Salleh_Shaharuddin_2005_Single-Row_Transformation_Complete_Graphs.pdf http://eprints.utm.my/7532/ http://dx.doi.org/10.1007/s11227-005-0184-4 |
| url_provider | http://eprints.utm.my/ |