If we think of the graph as modeling a network, the vulnerability measure the resistance of the network to disruption of operation after the failure of certain stations or communication links. Many graph theoretical parameters have been used to describe the vulnerability of communication networks, including connectivity, integrity, toughness, binding number and tenacity.In this paper we discuss...

Applying the idea of AdS/CFT correspondence, Krasnov [Kra00] studied a class of convex cocompact hyperbolic 3-manifolds. In physics literature they are known as Euclidean BTZ black holes. Mathematically they can be described as H/Γ, where Γ ⊂ PSL(2,C) is a Schottky group. His main result, roughly speaking, identifies the renormalized volume of such a manifold with the action for the Liouville t...

Neoliberal policies are shaping the healthcare landscape by emphasising individual choice. End-of-life care is a case in point as patient choice, through advance care planning, is a key conceptual framework for motivating service development and provision. Based on qualitative ethnographic research in England, this paper describes what choice is and how it is enacted in the context of end-of-li...

Clinical texts contain a large amount of information. Some of this information is embedded in contexts where e.g. a patient status is reasoned about, which may lead to a considerable amount of statements that indicate uncertainty and speculation. We believe that distinguishing such instances from factual statements will be very beneficial for automatic information extraction. We have annotated ...

— The parallel program schemata of Karp and Miller are considérée for unbounded parallelism and their main decidability result is extended to this case. The complexity of these schemata is investigated and a scheduling algorithm is presented whose sequential time complexity is polynomial. The scheduling algorithm is applied to a schema representing the StrassenWinograd algorithm for multiplicat...

We link Schubert varieties in the generalized flag manifolds with hyperplane arrangements. For an element of a Weyl group, we construct a certain graphical hyperplane arrangement. We show that the generating function for regions of this arrangement coincides with the Poincaré polynomial of the corresponding Schubert variety if and only if the Schubert variety is rationally smooth. Résumé. Nous ...

The integrated Brownian motion is sometimes known as the Langevin process. Lachal studied several excursion laws induced by the latter. Here we follow a different point of view developed by Pitman for general stationary processes. We first construct a stationary Langevin process and then determine explicitly its stationary excursion measure. This is then used to provide new descriptions of Itô’...