Counting orientations of graphs with no strongly connected tournaments

نویسندگان

چکیده

Let Sk(n) be the maximum number of orientations an n-vertex graph G in which no copy Kk is strongly connected. For all integers n, k ≥ 4 where n 5 or 5, we prove that = 2tk - 1(n), tk-1(n) edges (k 1)-partite Turán Tk-1(n). Moreover, Tk-1(n) only having 2tk-1(n) with connected copies Kk.

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ژورنال

عنوان ژورنال: Procedia Computer Science

سال: 2021

ISSN: ['1877-0509']

DOI: https://doi.org/10.1016/j.procs.2021.11.047