Synchronization in networks with different topologies is studied. We show that for a large class of oscillators there exist two classes of networks; class-A: networks for which the condition of stable synchronous state is /spl sigma//spl gamma//sub 2/ > a, and class-B: networks for which this condition reads /spl gamma//sub N///spl gamma//sub 2/ < b, where a and b are constants that depend on local dynamics, synchronous state and the coupling matrix, but not on the Laplacian matrix of the graph describing the topology of the network. Here /spl gamma//sub 1/ = 0 < /spl gamma//sub 2/ /spl les/... /spl les/ /spl gamma//sub N/ are the eigenvalues of the Laplacian matrix, where N is the order of the graph. Synchronization in networks whose topology is described by classical random graphs and power-law random graphs when N /spl rarr/ /spl infin/ is investigated in detail.