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The tripartite Ramsey number for trees
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Böttcher, Julia, Hladký, Jan and Piguet, Diana (2012) The tripartite Ramsey number for trees. Journal of Graph Theory, Vol.69 (No.3). pp. 264-300. doi:10.1002/jgt.20582 ISSN 0364-9024.
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Official URL: http://dx.doi.org/10.1002/jgt.20582
Abstract
We prove that for all εμ>0 there are α>0 and n 0εℕ such that for all n≥n 0 the following holds. For any two-coloring of the edges of K n, n, n one color contains copies of all trees T of order t≤(3 - εμ)n/2 and with maximum degree δ(T)≤n α. This confirms a conjecture of Schelp. © 2012 Wiley Periodicals, Inc.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Journal of Graph Theory | ||||
| Publisher: | John Wiley & Sons Ltd. | ||||
| ISSN: | 0364-9024 | ||||
| Official Date: | March 2012 | ||||
| Dates: |
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| Volume: | Vol.69 | ||||
| Number: | No.3 | ||||
| Page Range: | pp. 264-300 | ||||
| DOI: | 10.1002/jgt.20582 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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