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Let G be a graph with vertex set V. A moplex of G is both a clique and a module whose neighborhood is a minimal separator in G or empty. A moplex ordering of G is an ordered partition (X1,X2,⋯,Xk) of V for some integer k into moplexes which are defined in the successive transitory elimination graphs, i.e., for 1⩽i⩽k−1, Xi is a moplex of the graph Gi induced by ∪j=ikXj and Xk induces a clique. In this...
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