About the second neighborhood problem in tournaments missing disjoint stars

<p<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 $3$....
Ausführliche Beschreibung

Gespeichert in:
Autor*in:

Salman Ghazal [verfasserIn]

Format:

E-Artikel

Sprache:

Englisch

Erschienen:

2016

Schlagwörter:

oriented graph, out-neighborhood

second out-neighborhood

star

Übergeordnetes Werk:

In: Electronic Journal of Graph Theory and Applications - Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Australia; Institut Teknologi Bandung (ITB), Indonesia, 2013, 4(2016), 2, Seite 178-189

Übergeordnetes Werk:

volume:4 ; year:2016 ; number:2 ; pages:178-189

Links:

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Journal toc

DOI / URN:

10.5614/ejgta.2016.4.2.6

Katalog-ID:

DOAJ042296528

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