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We present a new Min-Max theorem for an optimization problem closely connected to matchings and vertex covers in balanced hypergraphs. The result generalizes Kőnig’s Theorem (Berge and Las Vergnas in Ann N Y Acad Sci 175:32–40, 1970; Fulkerson et al. in Math Progr Study 1:120–132, 1974) and Hall’s Theorem (Conforti et al. in Combinatorica 16:325–329, 1996) for balanced hypergraphs.
We prove characterizations of the existence of perfect ƒ-matchings in uniform mengerian and perfect hypergraphs. Moreover, we investigate the ƒ-factor problem in balanced hypergraphs. For uniform balanced hypergraphs we prove two existence theorems with purely combinatorial arguments, whereas for non-uniform balanced hypergraphs we show that the ƒ-factor problem is NP-hard.
An equitable graph coloring is a proper vertex coloring of a graph G where the sizes of the color classes differ by at most one. The equitable chromatic number is the smallest number k such that G admits such equitable k-coloring. We focus on enumerative algorithms for the computation of the equitable coloring number and propose a general scheme to derive pruning rules for them: We show how the extendability of a partial coloring into an equitable coloring can be modeled via network flows. Thus, we obtain pruning rules which can be checked via flow algorithms. Computational experiments show that the search tree of enumerative algorithms can be significantly reduced in size by these rules and, in most instances, such naive approach even yields a faster algorithm. Moreover, the stability, i.e., the number of solved instances within a given time limit, is greatly improved.
Since the execution of flow algorithms at each node of a search tree is time consuming, we derive arithmetic pruning rules (generalized Hall-conditions) from the network model. Adding these rules to an enumerative algorithm yields an even larger runtime improvement.
Analysis of the long-term effect of the MBST® nuclear magnetic resonance therapy on gonarthrosis
(2016)
Regardless of size or destination, synthetic biology starts with com-parably small information units, which need to be combined and properly arranged in order to achieve a certain goal. This may be the de novo synthesis of individual genes from oligonucleotides, a shuffling of protein domains in order to create novel biocatalysts, the assembly of multiple enzyme encoding genes in metabolic pathway design, or strain development at the production stage. The CoLibry concept has been designed in order to close the gap between recombinant production of individual genes and genome editing.
The aim of this work was to perform a detailed investigation of the use of Selective Laser Melting (SLM) technology to process eutectic silver-copper alloy Ag 28 wt. % Cu (also called AgCu28). The processing occurred with a Realizer SLM 50 desktop machine. The powder analysis (SEM-topography, EDX, particle distribution) was reported as well as the absorption rates for the near-infrared (NIR) spectrum. Microscope imaging showed the surface topography of the manufactured parts. Furthermore, microsections were conducted for the analysis of porosity. The Design of Experiments approach used the response surface method in order to model the statistical relationship between laser power, spot distance and pulse time.
Für das Auftreten extremer Wetterereignisse werden für Kernkraftwerke Eintrittshäufigkeiten für nicht mehr beherrschbare Zustände von unter 10⁻⁴/a gefordert. Dies gilt auch für die Einwirkung von Blitzeinschlägen. Die bisherige Nachweisführung zu Blitz- und Überspannungsschutz eines KKW in Deutschland ist deterministisch. In diesem Bericht werden das Vorgehen für einen entsprechenden Nachweis für leittechnische Einrichtungen der Sicherheitstechnik von KKW, der zur geforderten Zielgröße der Eintrittshäufigkeit führt. Die Ergebnisse werden zusammenfassend bewertet.
Mit der vorliegenden, parallel entsprechend in 10 weiteren Verfahren ergangenen Entscheidung behandelte der BGH zum wiederholten Male das Geschäftsmodell der Accessio Wertpapierhandelshaus AG („A AG“, früher: Wertpapierhandelshaus Driver & Bengsch AG). Die klagenden Anleger, zunächst nur akquiriert durch ein Tagesgeldkonto mit besonders attraktiven Zinsen, schlossen im Weiteren mit dieser einen Vermögensverwaltungsvertrag ab. Zur Abwicklung der Wertpapiergeschäfte eröffneten sie über die A AG zugleich ein Depotkonto bei der beklagten Discount-Brokerin. Für dieses erhielt die A AG eine Transaktionsvollmacht. Die Discount-Brokerin schuldete nach den Vertragsdokumenten über die gesetzlichen Aufklärungs- und Erkundigungspflichten bei Auftragsausführung hinaus keine Anlageberatung („execution-only-business“). Durch nach ihrer Behauptung fehlerhafte Anlageberatung der A AG erlitten die Anleger einen Schaden. In dem Rechtsstreit verlangten sie dessen Ersatz von der Discount-Brokerin, da die A AG zwischenzeitlich insolvent wurde.
Retinal Vessel Analysis (RVA) in the context of subarachnoid hemorrhage: A proof of concept study
(2016)
Background
Timely detection of impending delayed cerebral ischemia after subarachnoid hemorrhage (SAH) is essential to improve outcome, but poses a diagnostic challenge. Retinal vessels as an embryological part of the intracranial vasculature are easily accessible for analysis and may hold the key to a new and non-invasive monitoring technique. This investigation aims to determine the feasibility of standardized retinal vessel analysis (RVA) in the context of SAH.
Methods
In a prospective pilot study, we performed RVA in six patients awake and cooperative with SAH in the acute phase (day 2–14) and eight patients at the time of follow-up (mean 4.6±1.7months after SAH), and included 33 age-matched healthy controls. Data was acquired using a manoeuvrable Dynamic Vessel Analyzer (Imedos Systems UG, Jena) for examination of retinal vessel dimension and neurovascular coupling.
Results
Image quality was satisfactory in the majority of cases (93.3%). In the acute phase after SAH, retinal arteries were significantly dilated when compared to the control group (124.2±4.3MU vs 110.9±11.4MU, p<0.01), a difference that persisted to a lesser extent in the later stage of the disease (122.7±17.2MU, p<0.05). Testing for neurovascular coupling showed a trend towards impaired primary vasodilation and secondary vasoconstriction (p = 0.08, p = 0.09 resp.) initially and partial recovery at the time of follow-up, indicating a relative improvement in a time-dependent fashion.
Conclusion
RVA is technically feasible in patients with SAH and can detect fluctuations in vessel diameter and autoregulation even in less severely affected patients. Preliminary data suggests potential for RVA as a new and non-invasive tool for advanced SAH monitoring, but clinical relevance and prognostic value will have to be determined in a larger cohort.