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We consider the maximum bipartite entanglement that can be distilled from asingle copy of a multipartite mixed entangled state, where we focus mostly on$d\times d\times n$-dimensional tripartite mixed states. We show that this {\emassisted entanglement}, when measured in terms of the generalized concurrence(named G-concurrence) is (tightly) bounded by an entanglement monotone, whichwe call the G-concurrence of assistance. The G-concurrence is one of thepossible generalizations of the concurrence to higher dimensions, and for purebipartite states it measures the {\em geometric mean} of the Schmidt numbers.For a large (non-trivial) class of $d\times d$-dimensional mixed states, we areable to generalize Wootters formula for the concurrence into lower and upperbounds on the G-concurrence. Moreover, we have found an explicit formula forthe G-concurrence of assistance that generalizes the expression for theconcurrence of assistance for a large class of $d\times d\times n$ dimensionaltripartite pure states.Comment: 7 page

Mixed-state entanglement of assistance and the generalized concurrence