On dominating pair degree conditions for hamiltonicity in balanced bipartite digraphs
نویسندگان
چکیده
We prove several new sufficient conditions for hamiltonicity and bipancyclicity in balanced bipartite digraphs, terms of sums degrees over dominating or dominated pairs vertices.
منابع مشابه
On the Meyniel condition for hamiltonicity in bipartite digraphs
We prove a sharp Meyniel-type criterion for hamiltonicity of a balanced bipartite digraph: For a ≥ 2, a strongly connected balanced bipartite digraph D on 2a vertices is hamiltonian if d(u) + d(v) ≥ 3a whenever uv / ∈ A(D) and vu / ∈ A(D). As a consequence, we obtain a sharp sufficient condition for hamiltonicity in terms of the minimal degree: a strongly connected balanced bipartite digraph D ...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2021
ISSN: ['1872-681X', '0012-365X']
DOI: https://doi.org/10.1016/j.disc.2020.112240