2005•Journal of North China Institute of TechnologyRequires access

A Sufficient Condition of Strictly Directed Bipartite Graph with Directed Hamiltonian Path

Hongping Hu

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Abstract

A sufficient condition of strictly directed bipartite graph with directed Hamiltonian path is given, that is, suppose that D is a strictly directed Bipartite graph on n vertices, (in it V(D)=(X,Y),‖X|-|Y‖≤1), if two arbitraily nonadjacent vertices x,y in V(D) have d(x)+d(y)≥2n-4, then D has directed Hamiltonian path.

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A sufficient condition of strictly directed bipartite graph with directed Hamiltonian path is given, that is, suppose that D is a strictly directed Bipartite graph on n vertices, (in it V(D)=(X,Y),‖X|-|Y‖≤1), if two arbitraily nonadjacent vertices x,y in V(D) have d(x)+d(y)≥2n-4, then D has directed Hamiltonian path.

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Available abstract

A sufficient condition of strictly directed bipartite graph with directed Hamiltonian path is given, that is, suppose that D is a strictly directed Bipartite graph on n vertices, (in it V(D)=(X,Y),‖X|-|Y‖≤1), if two arbitraily nonadjacent vertices x,y in V(D) have d(x)+d(y)≥2n-4, then D has directed Hamiltonian path.

Key concepts: Bipartite graph, Combinatorics, Hamiltonian path, Mathematics, Hamiltonian path problem, Directed graph, Hamiltonian (control theory), Path (computing)

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