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In the case with spin S=1/2, the {\\it undirected} and {\\it directed} ER graphs present a spontaneous magnetization in the universality class of mean field theory, where in both {\\it directed} and {\\it undirected} ER graphs the model presents a spontaneous magnetization at $p = z/N$ ($z=2, 3, ...,N$), but no spontaneous magnetization at $p = 1/N$ which is the percolation threshold. 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