Edge-dominating cycles, k-walks and Hamilton prisms in 2K2-free graphs
نویسندگان
چکیده
منابع مشابه
Hamilton cycles in prisms over graphs
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.
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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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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2016
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216516420116