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In this paper, we present new results on network error correction with unequal link capacities. We consider network error correction codes that can correct arbitrary errors occurring on up to z links. We find the capacity of a two-node network with multiple feedback links and show how feedback links can be used to increase the error correction capacity. We propose a new cut-set upper bound for general acyclic networks, and show its tightness for a family of four-node acyclic networks when each backward link has enough capacity. For a more general family of zig-zag networks, we present conditions under which our upper bound is tight. Finally, we propose an approach for high-probability network error correction with a causal adversary.