Title: A new sufficient condition for a digraph to be Hamiltonian−A proof of Manoussakis conjecture


In this paper, we confirm this conjecture. Moreover, we prove that if a digraph D satisfies the conditions of this conjecture and has a pair of non-adjacent vertices {x, y} such that d(x) + d(y)  2n − 4, then D contains cycles of all lengths 3, 4, . . . , n.



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2020-07-21, 2020-11-05,

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Discrete Mathematics & Theoretical Computer Science






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The author would like to thank the anonymous referees for thoroughly review and many helpful commentsand suggestions which improved substantially the rewriting of this paper. We also thank PhD P. Hakobyanfor formatting the manuscript of this paper.


Institute for Informatics and Automation Problems of NAS RA




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