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The tripartite Ramsey number for trees

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Böttcher, Julia, Hladký, Jan and Piguet, Diana (2009) The tripartite Ramsey number for trees. Electronic Notes in Discrete Mathematics, Vol.34 . pp. 597-601. doi:10.1016/j.endm.2009.07.101

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Official URL: http://dx.doi.org/10.1016/j.endm.2009.07.101

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Abstract

We prove that for every ε>0 there are α>0 and n0∈N such that for all n⩾n0 the following holds. For any two-colouring of the edges of Kn,n,n one colour contains copies of all trees T of order k⩽(3−ε)n/2 and with maximum degree Δ(T)⩽nα. This answers a conjecture of Schelp.

Item Type: Journal Article
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Electronic Notes in Discrete Mathematics
Publisher: Elsevier BV
ISSN: 1571-0653
Official Date: 2009
Dates:
DateEvent
2009Published
Volume: Vol.34
Page Range: pp. 597-601
DOI: 10.1016/j.endm.2009.07.101
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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