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math.CO2018
On a Problem of Wang Concerning the Hamiltonicity of Bipartite Digraphs
Samvel Kh. Darbinyan, Iskandar A. Karapetyan
R. Wang (Discrete Mathematics and Theoretical Computer Science, vol. 19(3), 2017) proposed the following problem. \textbf{Problem.} Let be a strongly connected balanced biparti…
math.CO2018★ 1 cited
A theorem on even pancyclic bipartite digraphs
Samvel Kh. Darbinyan
We prove that a strongly connected balanced bipartite directed graph of order with partite sets and contains cycles of every length , provided…
math.CO2018★ 1 cited
On Hamiltonian and Hamilton-connected digraphs
S. Kh. Darbinyan
C. Thomassen in \cite{[11]} suggested (see also \cite{[2]}, J. C.Bermond, C. Thomassen, Cycles in Digraphs - A survey, J. Graph Theory 5 (1981) 1-43, Conjectures 1.6.7 and 1.6.8) t…