@Article{AAM-35-4,
author = {Chen, Bin and Chang, An},
title = {Seymour's Second Neighborhood in 3-Free Digraphs},
journal = {Annals of Applied Mathematics},
year = {2019},
volume = {35},
number = {4},
pages = {357--363},
abstract = {<p style="text-align: justify;">In this paper, we consider Seymour&#39;s Second Neighborhood Conjecture in
3-free digraphs, and prove that for any 3-free digraph $D$, there exists a vertex
say $v$, such that $d$<sup>++</sup>($v$) ≥ $⌊λd^+(v)⌋$, $λ$ = 0.6958 · · · . This slightly improves
the known results in 3-free digraphs with large minimum out-degree.</p>},
issn = {},
doi = {https://doi.org/2019-AAM-18086},
url = {https://global-sci.com/article/72677/seymours-second-neighborhood-in-3-free-digraphs}
}