Traditionally, the min-cut problem was solved by solving n − 1 min-st-cut problems. In the min-st-cut problem we are given as input two vertices s and t, our aim is to find the set S where s ∈ S and t / ∈ S which minimizes the size of the cut (S, S), i.e., |δ(S)|. The size of the min-st-cut is equal to the value of the max-st-flow (equivalent by linear programming duality). The fastest algorith...

We give an O(n log log n) time algorithm for computing the minimum cut (or equivalently, the shortest cycle) of a weighted directed planar graph. This improves the previous fastest O(n log n) solution [SODA’04]. Interestingly, while in undirected planar graphs both min-cut and min st-cut have O(n log log n) solutions [ESA’11, STOC’11], in directed planar graphs our result makes min-cut faster t...

By a classical result of Gomory and Hu (1961), in every edgeweighted graph G = (V,E,w), the minimum st-cut values, when ranging over all s, t ∈ V , take at most |V |−1 distinct values. That is, these (|V | 2 ) instances exhibit redundancy factor Ω(|V |). They further showed how to construct from G a tree (V,E′, w′) that stores all minimum st-cut values. Motivated by this result, we obtain tight...

The objective of our study was to compare the discriminating power of a proposed ST segment/heart rate index with that of a standard method of assessing exercise-induced ST segment depression for diagnosing coronary artery disease. We used a cross-sectional retrospective analysis of exercise test and coronary angiographic data. The study took place in a 1,200-bed Veterans Affairs Medical Center...

One method which has been used very successfully for finding optimal and provably good solutions for large instances of the Symmetric Travelling Salesman Problem (ST SP) is the branch and cut method. This method requires knowledge of classes of useful valid inequalities for the polytope associated with the ST SP, as well as efficient separation routines for these classes of inequalities. Recent...

AIMS The prognostic value of admission troponin T (tnT) levels and the resolution of the ST-segment elevation in ST-elevation myocardial infarction (STEMI) is well established. However, the combination of these two early available markers for predicting risk has not been evaluated. METHODS AND RESULTS We evaluated 516 patients with fibrinolytic treated STEMI from the ASSENT-2 and ASSENT-PLUS ...

Using a seed layer-free hydrothermal method, ZnO nanorods (NRs) were deposited on ST-cut quartz surface acoustic wave (SAW) devices for ammonia sensing at room temperature. For a comparison, a ZnO film layer with a thickness of 30 nm was also coated onto an ST-cut quartz SAW device using a sol-gel and spin-coating technique. The ammonia sensing results showed that the sensitivity, repeatability...

This study examined the feasibility of reducing free-living sedentary time (ST) and the convergent validity of various tools to measure ST. Twenty overweight/obese participants wore the activPAL (AP) (criterion measure) and ActiGraph (AG; 100 and 150 count/minute cut-points) for a 7-day baseline period. Next, they received a simple intervention targeting free-living ST reductions (7-day interve...

This note presents Nikon’s approach to the multimedia event detection (MED) task of TRECVID 2010. We explain the basic concept of our system which detects events by multiple keyframes extraction based on scene length. We describe the algorithm in detail and show experimental results with the MED dataset. Our simple system got the third place among seven teams of participants. 1 Basic Concept We...