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THE DEPRIORITISED APPROACH TO PRIORITISED ALGORITHMS

Part of: Algorithms - Computer Science Graph theory

Published online by Cambridge University Press:  14 May 2009

STEPHEN HOWE
STEPHEN HOWE*
Affiliation:
Centre for Mathematics and its Applications, Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia (email: [email protected])
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Abstract

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Keywords

randomised algorithmsdeprioritised algorithmsrandom regular digraphsdominating sets

MSC classification

Secondary: 05C80: Random graphs 68W20: Randomized algorithms 05C69: Dominating sets, independent sets, cliques
Type
PhD thesis
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 3 , June 2009 , pp. 523 - 524
Copyright
Copyright © Australian Mathematical Society 2009

Footnotes

Thesis submitted to The University of New South Wales, September 2008. Degree approved, January 2008. Supervisor: Dr Catherine Greenhill.

References

[1] Beis, M., Duckworth, W. and Zito, M., ‘Packing vertices and edges in random regular graphs’, Random Structures Algorithms 32 (2008), 20–37.CrossRefGoogle Scholar
[2] Diaz, J., Serna, M. and Wormald, N. C., ‘Bounds on the bisection width for random d-regular graphs’, Theoret. Comput. Sci. 382 (2007), 120–130.CrossRefGoogle Scholar
[3] Duckworth, W. and Wormald, N. C., ‘On the independent domination number of random regular graphs’, Combin. Probab. Comput. 15 (2006), 513–522.CrossRefGoogle Scholar
[4] Wormald, N. C., ‘The differential equation method for random graph processes and greedy algorithms’, in: Lectures on Approximation and Randomized Algorithms (Polish Scientific Publishers PWN, Warsaw, 1999), pp. 73–155.Google Scholar
[5] Wormald, N. C., ‘Analysis of greedy algorithms on graphs with bounded degrees’, Discrete Math. 273 (2003), 235–260.CrossRefGoogle Scholar