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For highly restricted instances with exactly four occurrences of every variable we provide a lower bound of 32.
The approach proceeds by improving a given feasible solution by solving restricted instances of the problem where flows of certain commodities are fixed to those in the solution while the other commodities are locally optimized.
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Although the problem is NP-complete, we propose its polynomial-time solvable variation by restricting instances of the problem using a biologically meaningful condition, which we call the weakly connected constraint.
Finally, using a framework developed by Bodlaender et al. (2009) and Fortnow and Santhanam (2011), based upon the notion of compositionality, we show that the tractable cases do not admit a polynomial kernel unless NP⊆coNP∕poly, even restricted to instances without or-vertices with out-degree greater than two.
The data were restricted to instances in which clear identification of the date posted and the identity of the host were possible, greatly reducing the sample sizes.
The TEN-E funding scheme remained grounded in the necessity to resort to market-based principles and financing, with EU funding 'highly exceptional', restricted to instances of market failure.
In the past, the uptake of evidence has been restricted to instances in which the evidence led directly to development of a policy, a strategy or a guideline, but scholars have shown different ways in which evidence can be used.
Amodiaquine has been shown to be largely ineffective against P. falciparum in this region 39, 40 and halofantrine use has been associated with cardiotoxicity and therefore its therapeutic use is restricted to instances in which safer alternative drugs are not available.
For structures of high complexity, their components accessibility can be restricted, for instance internal equipments or panels.
An alternative conclusion is that the weak Pareto principle can be rendered compatible with minimal liberalism only when the domain of admissible preference profiles is suitably restricted, for instance to preferences that are 'tolerant' or not 'meddlesome' (Blau 1975; Craven 1982; Gigliotti 1986; Sen 1983).
There are families whose treatment may be restricted for instance to a limited number of Marte Meo-sessions with a narrow focus, but there are also families with a long history of mistrust of authorities to surmount before a collaborative relationship can be established and treatment can start.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com