Connectivity is the fundamental of the MANETs for end-to-end data transmissions.The robust network topology of MANETs is desired to meet the communication requirements

which has no hot spot nodes and can avoid network partition effectively.In this paper

the

k

-connectivity of MANETs is discussed

and an analytical expression of the probability of network

k

-connectivity is derived that enables the determination of the required critical transmitting range.The results of this paper are of practical value for the scenarios with high requirements on fault-tolerate of node failure in MANETs.