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Partitioning a tournament into sub-tournaments of high connectivity

Abstract:
We prove that there exists a constant c>0 such that the vertices of every strongly c·kt-connected tournament can be partitioned into t parts, each of which induces a strongly k-connected tournament. This is clearly tight up to a constant factor, and it confirms a conjecture of Kühn, Osthus and Townsend (2016).
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00493-025-00161-3

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
Springer
Journal:
Combinatorica More from this journal
Volume:
45
Issue:
4
Article number:
34
Publication date:
2025-06-23
Acceptance date:
2024-06-20
DOI:
EISSN:
1439-6912
ISSN:
0209-9683


Language:
English
Pubs id:
2241302
Local pid:
pubs:2241302
Source identifiers:
3045702
Deposit date:
2025-06-23
ARK identifier:
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