Hamiltonian Cycle Problem in Strong k-Quasi-Transitive Digraphs With Large Diameter

Let k be an integer with k ≥ 2. A digraph is k-quasi-transitive, if for any path x0x1... xk of length k, x0 and xk are adjacent. Let D be a strong k-quasi-transitive digraph with even k ≥ 4 and diameter at least k +2. It has been shown that D has a Hamiltonian path. However, the Hamiltonian cycle pr...

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Bibliographic Details
Main Author: Wang Ruixia
Format: Article
Language:English
Published: Sciendo 2021-05-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2187