On the Equivalence among Problems of Bounded Width

In this paper, we introduce a methodology, called decomposition-based reductions, for showing the equivalence among various problems of bounded-width. First, we show that the following are equivalent for any $\alpha > 0$: * SAT can be solved in $O^*(2^{\alpha \mathrm{tw}})$ time, * 3-SAT can be solved in $O^*(2^{\alpha \mathrm{tw}})$ time, * Max 2-SAT can be solved in $O^*(2^{\alpha \mathrm{tw}})$ time, * Independent Set can be solved in $O^*(2^{\alpha \mathrm{tw}})$ time, and * Independent Set can be solved in $O^*(2^{\alpha \mathrm{cw}})$ time, where tw and cw are the tree-width and clique-width of the instance, respectively. Then, we introduce a new parameterized complexity class EPNL, which includes Set Cover and Directed Hamiltonicity, and show that SAT, 3-SAT, Max 2-SAT, and Independent Set parameterized by path-width are EPNL-complete. This implies that if one of these EPNL-complete problems can be solved in $O^*(c^k)$ time, then any problem in EPNL can be solved in $O^*(c^k)$ time.Comment: accepted to ESA 201

The forensiX evidence collection tube and its impact on DNA preservation and recovery

Biological samples are vulnerable to degradation from the time they are collected until they are analysed at the laboratory. Biological contaminants, such as bacteria, fungi, and enzymes, as well as environmental factors, such as sunlight, heat, and humidity, can increase the rate of DNA degradation. Currently, DNA samples are normally dried or frozen to limit their degradation prior to their arrival at the laboratory. In this study, the effect of the sample drying rate on DNA preservation was investigated, as well as a comparison between drying and freezing methods. The drying performances of two commercially available DNA collection tools (swab and drying tube) with different drying rates were evaluated. The swabs were used to collect human saliva, placed into the drying tubes, and stored in a controlled environment at 25°C and 60% relative humidity, or frozen at −20°C, for 2 weeks. Swabs that were stored in fast sample drying tubes yielded 95% recoverable DNA, whereas swabs stored in tubes with slower sample drying rates yielded only 12% recoverable DNA; saliva stored in a microtube at −20°C was used as a control. Thus, DNA sampling tools that offer rapid drying can significantly improve the preservation of DNA collected on a swab, increasing the quantity of DNA available for subsequent analysis

Logistic Coordination in Pediatric Liver Transplantation: Criteria for Optimization.

Logistic organization of the transplantation coordination process aims to synchronize the recovery and recipient team and to reduce to a minimum the graft's cold ischemia time (CIT), which, in turn, is known, to have deleterious effects on the graft and recipient, if prolonged. To determine whether variables influencing the different steps in the coordination process might allow for reducing CIT, this study aimed to analyze these variables. Retrospective analysis of 61 pediatric liver transplantations from 2006 to 2015 in the Geneva University Hospitals. Length of donor hepatectomy was increased for split grafts (P < .0001). Length of recipient hepatectomy was longer in the case of previous surgery (P = .06). The recipient team waiting time for the graft was longer for split grafts (P = .01). The graft waiting time at the recipient site was longer for whole grafts (P = .0005) and increased recipient weight (P = .03). The graft waiting time at the donor site was doubled in the case of recovery of organs after the liver by the same team (P = .007). The graft waiting time at the donor and recipient site not surprisingly increased the CIT (P = .007 and < .0001, respectively). CIT depends on waiting times during the entire coordination process, which largely depends on the estimation of hepatectomy lengths. A more accurate estimation, considering graft type and recipient's previous surgery and weight, might allow for decreasing CIT and consequently improve outcomes after pediatric liver transplantation