In this paper we consider Artinian modules over power series rings endowed with a Frobenius map. We describe a method for finding the set of all prime annihilators of submodules which are preserved by the given Frobenius map and on which the Frobenius map is not nilpotent. This extends the algorithm by Karl Schwede and the first author, which solved this problem for submodules of the injective ...

We consider the Commodity constrained Split Delivery Vehicle Routing Problem (CSDVRP), a routing problem where customers may request multiple commodities. The vehicles can deliver any set of commodities, and multiple visits to a customer are allowed only if the customer requests multiple commodities. If the customer is visited more than once, the different vehicles will deliver different sets o...

The minimum number of edges of an undirected graph covering a symmetric , supermodular set-function is determined. As a special case, we derive an extension of a theorem of J. Bang-Jensen and B. Jackson on hypergraph connectivity augmentation. 0. INTRODUCTION T. Watanabe and A. Nakamura 1987] proved a min-max formula for the minimum number of new edges whose addition to a given undirected graph...