On localizing global Pareto solutions in a given convex set

Localizing global hedgehogs on the brane

We investigate the localization of 4D topological global defects on the brane embedded in 5D. The defects are induced by 5D scalar fields with a symmetrybreaking potential. Taking an ansatz which separates the scalar field into the 4D and the extra-D part, we find that the static-hedgehog configuration is accomplished and the defects are formed only in the AdS4/AdS5 background. In the extra dim...

Is There a Planar Convex Set with Given Width, Diameter, and Inradius?

A note on the McKelvey uncovered set and Pareto optimality

We consider the notion of Pareto optimality under the assumption that only the pairwise majority relation is known and show that the set of necessarily Pareto optimal alternatives coincides with the McKelvey uncovered set. As a consequence, the McKelvey uncovered set constitutes the coarsest Pareto optimal majoritarian social choice function. Moreover, every majority relation is induced by a pr...

Diameter Two Graphs of Minimum Order with Given Degree Set

The degree set of a graph is the set of its degrees. Kapoor et al. [Degree sets for graphs, Fund. Math. 95 (1977) 189-194] proved that for every set of positive integers, there exists a graph of diameter at most two and radius one with that degree set. Furthermore, the minimum order of such a graph is determined. A graph is 2-self- centered if its radius and diameter are two. In this paper for ...

Sheila Jasanoff: localizing the global.

At a time when all knowledge is 'situated' and no longer 'universal' or 'neutral', the translation of Sheila Jasanoff's reflections about "how we should deploy for the good our profoundly human ingenuity" raises a question for Brazilian academia: how to 'situate' this reflection? If times are changing for the imperial West, it is plausible to take advantage of this time to problematize 'the pro...