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.

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