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Experiments in the dynamics of phase coupled oscillators when applied to graph colouring
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Source ACSC; Vol. 312 archive
Proceedings of the thirty-first Australasian conference on Computer science - Volume 74 table of contents
Wollongong, Australia
SESSION: Contributed papers: algorithms table of contents
Pages 83-89  
Year of Publication: 2008
ISBN ~ ISSN:1445-1336 , 978-1-920682-55-2
Authors
Sofianto Lee  University of Technology Sydney
Raymond Lister  University of Technology Sydney
Sponsors
: CORE - Computing Research and Education
: Macquarie University-Sydney
: University of Wollongong, Australia
Australian Comp Soc : Australian Computer Society
: University of Auckland, New Zealand
Publisher
Australian Computer Society, Inc.  Darlinghurst, Australia, Australia
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ABSTRACT

This paper examines the capacity of networks of phase coupled oscillators to coordinate activity in a parallel, distributed fashion. To benchmark these networks of oscillators, we present empirical results from a study of the capacity of such networks to colour graphs. We generalise the update equation of Aihara et al. (2006) to an equation that can be applied to graphs requiring multiple colours. We find that our simple multi-phase model can colour some types of graphs, especially complete graphs and complete k-partite graphs with equal or a near equal number of vertices in each partition. A surprising empirical result is that the effectiveness of the approach appears to be more dependent upon the topology of the graph than the size of the graph.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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Collaborative Colleagues:
Sofianto Lee: colleagues
Raymond Lister: colleagues