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The inducibility of oriented stars

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arxiv 2008.05430 v1 pith:TOCYMIML submitted 2020-08-12 math.CO

Ping Hu , Jie Ma , Sergey Norin , Hehui Wu This is my paper · ORCID
classification math.CO
keywords orientedstarstarsasymptoticallycasecenterconsidercopies
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abstract

We consider the problem of maximizing the number of induced copies of an oriented star $S_{k,\ell}$ in digraphs of given size, where the center of the star has out-degree $k$ and in-degree $\ell$. The case $k\ell=0$ was solved by Huang. Here, we asymptotically solve it for all other oriented stars with at least seven vertices.

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  1. The semi-inducibility problem

    math.CO 2025-01 accept novelty 7.0 of 10

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