Gent and Prosser proposed the first constraint model for the Stable Marriage problem with Ties and Incomplete preference lists (SMTI). Their model was based upon the simple Stable Marriage (SM) model proposed by Gent et al, in which for each man woman pair a constraint is posted consisting of a set of no good pairs of values. Prosser and Unsworth proposed a specialised binary constraint for SM ...

Several observations made over the past year have forged strong molecular links between transcription by RNA polymerase II (Pol II) and pre-mRNA processing. The key findings support the view that the carboxy-terminal domain (CTD) of the large subunit of RNA polymerase II binds directly to protein factors essential for RNA processing. In some cases, there is a clear suggestion that the factors o...

Popular matching and was extensively studied in recent years as an alternative to stable matchings. Both type of matchings are defined in the framework of Stable Marriage (SM) problem: in a given bipartite graph G = (A,B;E) each vertex u has a strict order of preference on its neighborhood. A matching M is popular, if for every matching M ′ of G, the number of vertices that prefer M ′ to M is a...

Chondroitin sulfate (CS) containing E-disaccharide units, glucuronic acid-N-acetylgalactosamine(4, 6-O-disulfate), at surfaces of tumor cells plays a key role in tumor metastasis. However, the molecular mechanism of the metastasis involving the CS chain-containing E-units is not fully understood. In this study, to clarify the role of E-units in the metastasis and to search for potential molecul...

Patients with pulmonary hypertension are at risk of developing fatal right heart failure after heart transplantation. To evaluate this risk potential, candidates for heart transplantation are screened by measuring rest right heart pressures and the response to nitroprusside. To test the validity of this approach, the influence of pretransplantation right heart catheterization data on outcome af...

Flexible Supercapacitors In article number 2205708, Lunhui Guan and co-workers fabricate a mechanically stable all flexible supercapacitor by in-situ electrode growth. The device presents electrochemical property with device-level fracture fatigue resistance. This versatile its integrated functional units can be employed as sensor system under harsh environments.

We consider the Stable Marriage Problem and the Stable Roommates Problem, two well-known types of the general class of Stable Matching Problems. They are combinatorial problems which can be solved by centralized algorithms in polynomial time. This requires to make public lists of preferences which agents would like to keep private. With this aim, we define the distributed version of these probl...