Opening book details…
Can I read The Second Out-neighborhood for Local Tournaments on EtoBox?
The Second Out-neighborhood for Local Tournaments by Li, Ruijuan ;Liang, Juanjuan is a Mathematics article available to read on EtoBox.
What is The Second Out-neighborhood for Local Tournaments about?
Sullivan stated the conjectures: (1) every oriented graph has a vertex x such that d ++ (x) ≥ d -(x) and (2) every oriented graph has a vertex x such that d ++ (x) + d + (x) ≥ 2d -(x). In this paper, we prove that these conjectures hold for local tournaments. In particular, for a local tournament D, there are at least two vertices satisfying (1) and either there exist two vertices satisfying (2) or there exists a vertex v satisfying d ++ (v) + d + (v) ≥ 2d -(v) + 2 if D has no vertex of in-degree zero.
Who reads The Second Out-neighborhood for Local Tournaments?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Li, Ruijuan ;Liang, Juanjuan
- Publisher
- Walter de Gruyter GmbH
- Published
- 2020
- Language
- EN
- Field
- Mathematics (Physical Sciences)