### Abstract

A cellular network is often modelled as a graph and the channel assignment problem is formulated as a coloring problem of the graph. Sen et al. (1998) introduced the notion of cellular graphs that models the hexagonal cell structure of a cellular network. Assuming a k-band buffering system where the interference does not extend beyond k cells away from the call originating cell, we provided two different formulations of the channel assignment problem: Distance-k chromatic number problem and k-band chromatic bandwidth problem. The channel assignment algorithms presented in Sen et al. were non-optimal. In this paper we provide: (i) a new algorithm for the distance-k chromatic number problem that is optimal and (ii) a near optimal algorithm for the 2-band chromatic bandwidth problem that has a performance bound of 4/3. The complexity of the algorithms is O(p), where p is the number of cells.

Original language | English (US) |
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Title of host publication | IEEE International Conference on Communications |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 1147-1151 |

Number of pages | 5 |

Volume | 2 |

ISBN (Electronic) | 078035284X |

DOIs | |

State | Published - Jan 1 1999 |

Event | 1999 IEEE International Conference on Communications, ICC 1999 - Vancouver, Canada Duration: Jun 6 1999 → Jun 10 1999 |

### Other

Other | 1999 IEEE International Conference on Communications, ICC 1999 |
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Country | Canada |

City | Vancouver |

Period | 6/6/99 → 6/10/99 |

### ASJC Scopus subject areas

- Computer Networks and Communications
- Electrical and Electronic Engineering

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## Cite this

*IEEE International Conference on Communications*(Vol. 2, pp. 1147-1151). [765476] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICC.1999.765476