Using polyhedral combinatorics and graph theory results, we study unstable families of coalitions and analyze the effect of adding players or deleting coalitions in order to obtain a stable family. We also generalize the ...

We consider Dykstra’s alternating projection method when it is used to find the projection onto polyhedral cones of the form {x Î H : á vi, xñ £ 0} where H is a real Hilbert space and á vi, vjñ > 0, i, j = 1, ..., n. Based ...

The study of cohesive subgroups is an important aspect of social network analysis. Cohesive subgroups are studied using different relaxations of the notion of clique in a graph. For instance, given a graph and an integer ...

This paper presents a new polyhedral approximation for the quadratic cost curve of thermal units for the unit commitment problem. The approximation is tight, can be represented by rational numbers, and its size grows ...