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The link generation rate reflects the changing rate of neighborhoods of mobile nodes in mobile ad hoc networks. The generation rate is an important index of a network connection. Cho and Hayes discussed the link generation rate for constant velocity mobility model, and Prince and Stephen presented the link generation rate at different velocities bounded in [a, b] with random direction mobility model. It is a challenge to deal with the linking generation rate for general mobility model (e.g. Gauss-Markov mobility model). In this paper we deduce the linking generation rate for discrete Gauss-Markov mobility model and generalized discrete Gauss-Markov mobility model. The Link stability is discussed in the end.