About the second neighborhood problem in tournaments missing disjoint stars

Let $D$ be a digraph without digons. Seymour's second neighborhood conjecture states that $D$ has a vertex $v$ such that $d^+(v) \leq d^{++}(v)$. Under some conditions, we prove this conjecture for digraphs missing $n$ disjoint stars. Weaker conditions are required when $n = 2$ or $3$. In some...

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Bibliographic Details
Main Author: Ghazal, Salman; Department of Mathematics Faculty of Sciences I, Lebanese University, Lebanon, and Institute Camille Jordan Département de Mathématiques, Université Claude Bernard Lyon 1, France (Author)
Format: EJournal Article
Published: GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, 2016-10-08.
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