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The electrical components were qualitative modeled in the circuit diagram. To get the connection matrix of the circuit diagram, it’s necessary to transform the circuit diagram to directed graph by the current direction on the basis of the modeled components. All the paths in the directed graph from the battery positive terminal to ground could be calculated by using its algebraic cofactor, and compared the paths with the function branches that were designed for the circuit graph. Compared to the adjacency matrix method used in traditional sneak circuit analysis, this method could not only judge whether there were sneak circuits in the circuit graph, but got all the conduction paths information of the sneak circuits. On this basis, the method that was designed for wiping the effects of the sneak circuits was proposed to improve the original circuit graph. The validity and feasibility of the method has been confirmed experimentally in the car ignition circuit by using Capital Harness System(CHS).