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arXiv · 2008.05430

The inducibility of oriented stars

Ping Hu·Jie Ma·Sergey Norin·Hehui Wu
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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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Ping Hu, Jie Ma, Sergey Norin, Hehui Wu. 2020-08-12. The inducibility of oriented stars. https://arxiv.org/abs/2008.05430

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