We present a greedy algorithm for minimizing a separable convex function over a finite jump system (E,F), where E is a noBempty finite set amd lr is a nonempty finite set of integral points in ZE satisfying a certain exchange axiom. The concept ofjump system was introduced by A. Bouchet and W. H. Cunningham. A jump system is a genera}ization of an integral bisubmodulam polyhedron, alt integral polymatroid, a
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