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A new sufficient condition for a Digraph to be Hamiltonian-A proof of Manoussakis Conjecture

Y. Manoussakis (J. Graph Theory 16, 1992, 51-59) proposed the following conjecture. \noindent\textbf{Conjecture}. {\it Let $D$ be a 2-strongly connected digraph of order $n$ such that for all distinct pairs of non-adjacent vertices $x$, $y$ and $w$, $z$, we have $d(x)+d(y)+d(w)+d(z)\geq 4n-3$. The...

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Autor principal: Samvel Kh. Darbinyan
Format: Artigo
Idioma:Inglês
Publicat: Discrete Mathematics & Theoretical Computer Science 2021-01-01
Col·lecció:Discrete Mathematics & Theoretical Computer Science
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Accés en línia:https://dmtcs.episciences.org/6086/pdf
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