- Abstract:
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Let Dk denote the tournament on 3k vertices consisting of three disjoint vertex classes V1, V2 and V3 of size k, each oriented as a transitive subtournament, and with edges directed from V1 to V2, from V2 to V3 and from V3 to V1. Fox and Sudakov proved that given a natural number k and ε > 0, there is n0(k, ε) such that every tournament of order n ⩾ n0(k,ε) which is ε-far from being transitive contains Dk as a subtournament. Their proof showed that and they conjectured that this could be ...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted Manuscript
- Files:
-
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(pdf, 282.6kb)
-
- Publisher copy:
- 10.1017/S0963548316000213
-
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- Publisher:
- Cambridge University Press Publisher's website
- Journal:
- Combinatorics, Probability and Computing Journal website
- Volume:
- 26
- Issue:
- 1
- Pages:
- 68-77
- Publication date:
- 2016-06-21
- DOI:
- EISSN:
-
1469-2163
- ISSN:
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0963-5483
- Pubs id:
-
pubs:687040
- URN:
-
uri:cb65e527-6ade-43af-96bb-f65718016801
- UUID:
-
uuid:cb65e527-6ade-43af-96bb-f65718016801
- Local pid:
- pubs:687040
- Copyright holder:
- Cambridge University Press
- Copyright date:
- 2016
- Notes:
-
Copyright © 2016 Cambridge University Press.
This is the accepted manuscript version of the article. The final version is available online from Cambridge University Press at: https://doi.org/10.1017/S0963548316000213
Journal article
Large unavoidable subtournaments
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