Abstract: To solve the problem that the order of a connection matrix is greatly increased because a large number of repeated nodes and links are resulted in when a network with voting systems is changed into a network graph, a reduced-order method was proposed. In this method, the connection matrix are divided into block matrixes on the basis of its characteristics, so a voting sub-system is corresponding to a block matrix, and the block matrix corresponding to the voting system is operated independently by defining and using twomatrixoperators. The calculated resultshows thatthismethod can reduce the orderof a connection matrix greatly.