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In this paper, we consider integral (and fractional) packing problems in generalized kernel systems with a mixed family (gksmf). This framework generalizes combinatorial packing problems of several structures as, for instance, st-flows, arborescences, kernel systems, branchings, convex branchings, and covers in bi-set systems. We provide an algorithm, which improves by a factor of 2 on the upperbound...
We study a framework, which we call a generalized kernel system, introduced by Frank. We prove some integral and fractional packing theorems in this framework which, in particular, imply an improvement over the best known upper bounds on the size of the packing, one due to Gabow and Manu, for packing arborescences from a given root, and another, due to Schrijver, for packing branchings from given...
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