BIPARTITIONS OF HIGHLY CONNECTED TOURNAMENTS

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We show that if T is a strongly 10(9)k(6) log(2k)-connected tournament, there exists a partition A, B of V (T) such that each of T[A], T[B], and T[A, B] is strongly k-connected. This provides solutions to tournament analogues of two partition conjectures of Thomassen regarding highly connected graphs. We also discuss spanning linkages as well as nonseparating subdivisions in highly connected tournaments.
Publisher
SIAM PUBLICATIONS
Issue Date
2016
Language
English
Article Type
Article
Citation

SIAM JOURNAL ON DISCRETE MATHEMATICS, v.30, no.2, pp.895 - 911

ISSN
0895-4801
DOI
10.1137/15M1006611
URI
http://hdl.handle.net/10203/263348
Appears in Collection
MA-Journal Papers(저널논문)
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