Extremal digraphs on Meyniel-type condition for hamiltonian cycles in balanced bipartite digraphs

Let $D$ be a strong balanced digraph on $2a$ vertices. Adamus et al. have proved that $D$ is hamiltonian if $d(u)+d(v)\ge 3a$ whenever $uv\notin A(D)$ and $vu\notin A(D)$. The lower bound $3a$ is tight. In this paper, we shall show that the extremal digraph on this condition is two classes of digrap...

Full description

Bibliographic Details
Main Authors: Ruixia Wang, Linxin Wu, Wei Meng
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2022-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/5851/pdf