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Domination analysis of greedy heuristics for the frequency assignment problem

Koller, A.E. and Noble, Steven (2004) Domination analysis of greedy heuristics for the frequency assignment problem. Discrete Mathematics 275 (1-3), pp. 331-338. ISSN 0012-365X.

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Abstract

We introduce the greedy expectation algorithm for the fixed spectrum version of the frequency assignment problem. This algorithm was previously studied for the travelling salesman problem. We show that the domination number of this algorithm is at least , where σ is the available span and n the number of vertices in the constraint graph. In contrast to this we show that the standard greedy algorithm has domination number strictly less than σne−5(n−1)/144 for large n and fixed σ.

Metadata

Item Type: Article
Additional Information: https://bura.brunel.ac.uk/bitstream/2438/1674/1/DomFAPref2.pdf
School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
Depositing User: Sarah Hall
Date Deposited: 20 Jul 2020 12:42
Last Modified: 09 Aug 2023 12:48
URI: https://eprints.bbk.ac.uk/id/eprint/32603

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