Fast and Deterministic Approximations for k-Cut

In an undirected graph, a k-cut is a set of edges whose removal breaks the graph into at least k connected components. The minimum weight k-cut can be computed in n^O(k) time, but when k is treated as part of the input, computing the minimum weight k-cut is NP-Hard [Goldschmidt and Hochbaum, 1994]. For poly(m,n,k)-time algorithms, the best possible approximation factor is essentially 2 under the small set expansion hypothesis [Manurangsi, 2017]. Saran and Vazirani [1995] showed that a (2 - 2/k)-approximately minimum weight k-cut can be computed via O(k) minimum cuts, which implies a O~(km) randomized running time via the nearly linear time randomized min-cut algorithm of Karger [2000]. Nagamochi and Kamidoi [2007] showed that a (2 - 2/k)-approximately minimum weight k-cut can be computed deterministically in O(mn + n^2 log n) time. These results prompt two basic questions. The first concerns the role of randomization. Is there a deterministic algorithm for 2-approximate k-cuts matching the randomized running time of O~(km)? The second question qualitatively compares minimum cut to 2-approximate minimum k-cut. Can 2-approximate k-cuts be computed as fast as the minimum cut - in O~(m) randomized time? We give a deterministic approximation algorithm that computes (2 + eps)-minimum k-cuts in O(m log^3 n / eps^2) time, via a (1 + eps)-approximation for an LP relaxation of k-cut

Correct Conduct for Career And College

Pamphlet outlining the rules of etiquette young female students should follow throughout their academic and business careers, as determined by Anne Kent and Emily Post

Locality and reality revisited

Bell gave the now standard definition of a local hidden variable theory and showed that such theories cannot reproduce the predictions of quantum mechanics without violating his ``free will'' criterion: experimenters' measurement choices can be assumed to be uncorrelated with properties of the measured system prior to measurement. An alternative is considered here: a probabilistic theory of hidden variables underlying quantum mechanics could be statistically local, in the sense that it supplies global configuration probabilities which are defined by expressions involving only local terms. This allows Bell correlations without relying on {\it either} a conspiracy theory in which prior common causes correlate the system state with experimenters' choices {\it or} a reverse causation principle in which experimenters' choices affect the earlier system states. In particular, there is no violation of the free will criterion. It gives a different perspective on Bell correlations, in which the puzzle is not that apparently non-local correlations should emerge from rules involving local quantities, but rather that we do not see more general non-local correlations that allow paradox-immune forms of superluminal signalling.Comment: 9 pages, Latex, incl. 6 figure

The WTO Law on Subsidies and Climate Change: Overcoming the Dissonance?

The worrisome rise in the number of trade disputes relating to climate change policies leaves no doubt as to the relevance of WTO law to climate change policies. Perhaps the most contentious aspect of the relationship between trade law and climate change policies is the issue of subsidies — while many climate change policies rely heavily on the use of subsidies, WTO law considers subsidies a distortive force and aspires to limit the use of such measures. This article evaluates the compatibility of several climate change programs in light of the WTO law on subsidies. It argues that the current legal framework is unsuitable for the promotion of climate change abatement objectives. This is because relevant considerations such as the urgency of the climate change problem, the many market failures embedded in climate-friendly goods and services, and the political reality currently abundant in many states, are entirely disregarded by the WTO law on subsidies. The recent Canada FIT Panel and Appellate Body Reports seem to accept this critique, and consequently present a modified approach to the interaction between the WTO law on subsidies and the climate change challenge. Another promising route of action can be found in the model reflected in an agreement recently concluded between the EU and China, in which, prima facie, the parties decided to include non-commercial considerations as relevant for their own trading relations. These two recent developments may signify a change in the approach towards the interaction between trade law and climate change, as well as a realisation that the current legal framework should be re-evaluate

Catch Shares in Action: British Columbia Integrated Groundfish Program

The British Columbia Integrated Groundfish Program (Integrated Program) is one of the most comprehensive catch share programs in the world. The multi-species program includes over 70 species, 30 of which are managed via quota, and includes all commercial fishermen targeting groundfish, regardless of gear type. The program includes a number of innovative design features such as quota set-asides, which are meant to encourage community development and incentivize positive treatment of crew. Additionally, the program requires 100% individual accountability of all catch and uses an innovative monitoring and catch accounting system to support accountability