Abstract: We considered that  each vertex of ring C_n of a   super sungraph G_s(C_n,a_i) was added with a path of length two, and the super sun-graph obtained was the characteristic of  module p edge magic graceful graph. The results show that the super sungraph that constructed with n trees and joint T_i(i∈［1,n］) with n-1 edges are module p edge magic graceful graph.

Key words: graphical password, super sungraph, module p edge magic graceful labelling