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Anti-Ramsey properties of random graphs

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Bohman, Tom, Frieze, Alan, Pikhurko, Oleg and Smyth, Cliff (2010) Anti-Ramsey properties of random graphs. Journal of Combinatorial Theory, Series B, Vol.100 (No.3). pp. 299-312. doi:10.1016/j.jctb.2009.09.002

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Official URL: http://dx.doi.org/10.1016/j.jctb.2009.09.002

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Abstract

We call a coloring of the edge set of a graph G a b-bounded coloring if no color is used more than b times. We say that a subset of the edges of G is rainbow if each edge is of a different color. A graph has property A(b,H) if every b-bounded coloring of its edges has a rainbow copy of H. We estimate the threshold for the random graph Gn,p to have property A(b,H).

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Journal of Combinatorial Theory, Series B
Publisher: Academic Press
ISSN: 0095-8956
Official Date: May 2010
Dates:
DateEvent
May 2010Published
Volume: Vol.100
Number: No.3
Page Range: pp. 299-312
DOI: 10.1016/j.jctb.2009.09.002
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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