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Ultrasound-Guided Stellate Ganglion Block with Cervicotemporal Myofascial Trigger Point Acupuncture for Insomnia with Comorbid Anxiety and Depression: A Retrospective Observational Study. [PDF]
Li Z +14 more
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Journal of Graph Theory, 2007
AbstractThe prism over a graph G is the Cartesian product G □ K2 of G with the complete graph K2. If G is hamiltonian, then G□K2 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.
Tomás Kaiser +4 more
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AbstractThe prism over a graph G is the Cartesian product G □ K2 of G with the complete graph K2. If G is hamiltonian, then G□K2 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.
Tomás Kaiser +4 more
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Oriented hamilton cycles in digraphs
Journal of Graph Theory, 1995AbstractWe show that a directed graph of order n will contain n‐cycles of every orientation, provided each vertex has indegree and outdegree at least (1/2 + n‐1/6)n and n is sufficiently large. © 1995 John Wiley & Sons, Inc.
Roland Häggkvist, Andrew Thomason 0001
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Independence trees and Hamilton cycles
Journal of Graph Theory, 1998Summary: Let \(G\) be a connected graph on \(n\) vertices. A spanning tree \(T\) of \(G\) is called an independence tree, if the set of end vertices of \(T\) (vertices with degree one in \(T\)) is an independent set in \(G\). If \(G\) has an independence tree, then \(\alpha_t(G)\) denotes the maximum number of end vertices of an independence tree of ...
Hajo Broersma, Hilde Tuinstra
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Hamilton cycles in plane triangulations
Journal of Graph Theory, 2002AbstractWe extend Whitney's Theorem that every plane triangulation without separating triangles is hamiltonian by allowing some separating triangles. More precisely, we define a decomposition of a plane triangulation G into 4‐connected ‘pieces,’ and show that if each piece shares a triangle with at most three other pieces then G is hamiltonian.
Bill Jackson, Xingxing Yu
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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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Hamilton Cycles in Oriented Graphs
Combinatorics, Probability and Computing, 1993It is shown that an oriented graph of order n whose every indegree and outdegree is at least cn is hamiltonian if c ≥ ½ − 2−15 but need not be if c < ⅜.
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