k-Ary spanning trees contained in tournaments

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On k-ary spanning trees of tournaments

It is well known that every tournament contains a Hamiltonian path, which can be restated as that every tournament contains a unary spanning tree. The purpose of this article is to study the general problem of whether a tournament contains a k-ary spanning tree. In particular, we prove that, for any fixed positive integer k, there exists a minimum number h(k) such that every tournament of order...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2020

ISSN: 0166-218X

DOI: 10.1016/j.dam.2020.04.028