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On the Thickness of Sparse Random Graphs

Published online by Cambridge University Press:  12 September 2008

Colin Cooper
Colin Cooper
Affiliation:
School of Mathematical Studies, University of North London, 2-16 Eden Grove, London N7 8EA
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Abstract

The thickness of sparse random graphs in the model Gn, p is closely related to the arboricity, provided p(n) is suitably small. This allows us to identify a range of p(n) for which the thickness is approximately np/2.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 1 , Issue 4 , December 1992 , pp. 303 - 309
Copyright
Copyright © Cambridge University Press 1992

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References

[1]Ajtai, M., Komlós, J. and Szemerédi, E. (1979) Topological complete subgraphs in random graphs. Studia Scientiarum Mathematicarum Hungarica 14 293–297.Google Scholar
[2]Bollobás, B. (1985) Random Graphs, Academic Press.Google Scholar
[3]Chvátal, V. (1991) Almost all graphs with 1.44n edges are 3 colourable. Random Structures and Algorithms 2 11–28.CrossRefGoogle Scholar
[4]Frieze, A. M. and Luczak, T. (1990) Edge disjoint trees in random graphs. Periodica Mathematica Hungarica 21 35–37.CrossRefGoogle Scholar
[5]Frieze, A. M. and Molloy, M. (1992) Private communication.Google Scholar
[6] Nash-Williams, C. St. J. A. (1964) Decomposition of finite graphs into forests. J. London Math. Soc. 39 12.CrossRefGoogle Scholar
[7]Pittel, B. (1990) On tree census and the giant component in sparse random graphs. Random Structures and Algorithms 1 311–342.CrossRefGoogle Scholar