English

The inducibility of oriented stars

Combinatorics 2020-08-13 v1

Abstract

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

Cite

@article{arxiv.2008.05430,
  title  = {The inducibility of oriented stars},
  author = {Ping Hu and Jie Ma and Sergey Norin and Hehui Wu},
  journal= {arXiv preprint arXiv:2008.05430},
  year   = {2020}
}
R2 v1 2026-06-23T17:48:45.097Z