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.

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Official URL: http://dx.doi.org/10.1007/s11227-005-0184-4

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Complete graph, simulated annealing and channel assignments, single-row routing |

Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |

Divisions: | Computer Science and Information System (Formerly known) |

ID Code: | 7532 |

Deposited By: | Maznira Sylvia Azra Mansor |

Deposited On: | 08 Jan 2009 03:12 |

Last Modified: | 01 Jun 2010 15:53 |

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