Before revision:  Inspired by the structural balance theory, in this article, we innovatively propose a non-backtracking operator for signed networks . Besides, we theoretically derive a detectability threshold and prove the feasibility of the non-backtracking operator in community detection.
After revision:  Inspired by the structural balance theory, in this article, we innovatively propose a non-backtracking operator for signed networks , and theoretically derive a detectability threshold and prove the feasibility of the non-backtracking operator in community detection.