A Sufficient and Necessary Condition of Digraph withDirected Hamiltonian Path
Hongping Hu
Abstract
Hongping Hu
Abstract
In this paper, the U-track and strictly directed bipartite graph are defined. A sufficicent and necessary condition for digraph having Hamiltonian path by use of the defintion of U-track and a sufficient condition for strictly directed bipartite graph to be hamiltonian by use of the definition of Hamiltonian path are proved.
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In this paper, the U-track and strictly directed bipartite graph are defined. A sufficicent and necessary condition for digraph having Hamiltonian path by use of the defintion of U-track and a sufficient condition for strictly directed bipartite graph to be hamiltonian by use of the definition of Hamiltonian path are proved.
Key concepts: Digraph, Hamiltonian path problem, Hamiltonian path, Bipartite graph, Mathematics, Hamiltonian (control theory), Combinatorics, Directed graph