On the unavoidability of oriented trees

نویسندگان

چکیده

A digraph is n-unavoidable if it contained in every tournament of order n. We first prove that arborescence n with k leaves (n+k−1)-unavoidable. then oriented tree (n≥2) (32n+32k−2)-unavoidable and (92n−52k−92)-unavoidable, thus (218n−4716)-unavoidable. Finally, we (n+144k2−280k+124)-unavoidable.

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series B

سال: 2021

ISSN: ['0095-8956', '1096-0902']

DOI: https://doi.org/10.1016/j.jctb.2021.06.003