On Hamiltonian cycles and Hamiltonian paths
نویسندگان
چکیده
A Hamiltonian cycle is a spanning cycle in a graph, i.e., a cycle through every vertex, and a Hamiltonian path is a spanning path. In this paper we present two theorems stating sufficient conditions for a graph to possess Hamiltonian cycles and Hamiltonian paths. The significance of the theorems is discussed, and it is shown that the famous Ore’s theorem directly follows from our result. 2004 Elsevier B.V. All rights reserved.
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عنوان ژورنال:
- Inf. Process. Lett.
دوره 94 شماره
صفحات -
تاریخ انتشار 2005