Hamilton cycles in prisms over graphs
نویسندگان
چکیده
The prism over a graph G is the Cartesian product G2K2 of G with the complete graph K2. If G is hamiltonian, then G2K2 is also hamiltonian but the converse does not hold in general. Having a hamiltonian prism is shown to be a good measure how close a graph is to being hamiltonian. In this paper, we examine classical problems on hamiltonicity of graphs in the context of hamiltonian prisms.
منابع مشابه
Hamilton cycles in prisms
The prism over a graph G is the Cartesian product G2K2 of G with the complete graph K2. If G is hamiltonian, then G2K2 is also hamiltonian but the converse does not hold in general. Having a hamiltonian prism is shown to be an interesting relaxation of being hamiltonian. In this paper, we examine classical problems on hamiltonicity of graphs in the context of having a hamiltonian prism. c © ???...
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