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    Relationship between feasible potentials and negative dicycles.

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    Let G be a directed graph where c_e is the cost of arc e. If the nodes of G can be assigned feasible potentials then G has no negative dicycle.

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    Solution Preview

    Assume G has feasible potentials. Let y_v be the potential assigned to node v.

    In particular then for any ...

    Solution Summary

    A proof involving feasible potentials and dicycles is provided.