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 $3$....
Main Author: | Salman Ghazal |
---|---|
Format: | Article |
Language: | English |
Published: |
Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Australia; Institut Teknologi Bandung (ITB), Indonesia
2016-10-01
|
Series: | Electronic Journal of Graph Theory and Applications |
Subjects: | |
Online Access: | https://www.ejgta.org/index.php/ejgta/article/view/189 |
Similar Items
-
A remark on the second neighborhood problem
by: Salman Ghazal
Published: (2015-10-01) -
The second out-neighborhood for local tournaments
by: Li Ruijuan, et al.
Published: (2020-05-01) -
Renovation programs in old and inefficient neighborhoods of cities with case studies
by: Abdol Aziz Shahraki
Published: (2022-10-01) -
A note on possible density and diameter of counterexamples to the Seymour's second neighborhood conjecture
by: Oleksiy Zelenskiy, et al.
Published: (2021-07-01) -
Determining optimal neighborhood size for ecological studies using leave-one-out cross validation
by: Kim Deok Ryun, et al.
Published: (2012-04-01)