  The problems of genuine multipartite entanglement detection and
classification are challenging. We show that a multipartite quantum state is
genuine multipartite entangled if the multipartite concurrence is larger than
certain quantities given by the number and the dimension of the subsystems.
This result also provides a classification of various genuine multipartite
entanglement. Then, we present a lower bound of the multipartite concurrence in
terms of bipartite concurrences. While various operational approaches are
available for providing lower bounds of bipartite concurrences, our results
give an effective operational way to detect and classify the genuine
multipartite entanglement. As applications, the genuine multipartite
entanglement of tripartite systems is analyzed in detail.
