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Sustainability in Reconstructive Breast Surgery: An Eco-audit of the Deep Inferior Epigastric Perforator Flap Pathway. [PDF]
Ahmed Z+8 more
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Manganese-induced Precocious Puberty Alters Mammary Epithelial Cell Proliferation in Female Rats.
Hamilton AM+4 more
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On the Hamilton Cycle of the Hypercube
Key Engineering Materials, 2011Hypercube is one of the basic types of interconnection networks. In this paper, we use the concept of the Cartesian product graph to define the hypercube Qn, we study the relationship between the isomorphic graphs and the Cartesian product graphs, and we get the result that there exists a Hamilton cycle in the hypercube Qn.
Yan Zhong Hu, Hua Dong Wang
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Hamilton Cycles and Paths in Fullerenes
Journal of Chemical Information and Modeling, 2007AbstractChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 200 leading journals. To access a ChemInform Abstract, please click on HTML or PDF.
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1991
Abstract: "The edges of the complete graph K[subscript n] are coloured so that no colour appears no more than k times, k = [n/A 1n n], for some sufficiently large A. We show that there is always a Hamiltonian cycle in which each edge is a different colour. The proof technique is probabilistic."
Frieze, Reed, Bruce A.
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Abstract: "The edges of the complete graph K[subscript n] are coloured so that no colour appears no more than k times, k = [n/A 1n n], for some sufficiently large A. We show that there is always a Hamiltonian cycle in which each edge is a different colour. The proof technique is probabilistic."
Frieze, Reed, Bruce A.
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1985
The following extension of Dirac's Theorem is proved. If G is a non-hamiltonian graph with at least three vertices and p,q are a pair of natural numbers satisfying p+q = δ(G)+1, then K p,q ⊂ G c .
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The following extension of Dirac's Theorem is proved. If G is a non-hamiltonian graph with at least three vertices and p,q are a pair of natural numbers satisfying p+q = δ(G)+1, then K p,q ⊂ G c .
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