Abstract:In a graph G = (V, E), a module is a vertex subset M of V such that every vertex outside M is adjacent to all or none of M . For example, ∅, {x} (x ∈ V ) and V are modules of G, called trivial modules. A graph, all the modules of which are trivial, is prime; otherwise, it is decomposable.there is some k-vertex set X of vertices such that there is no proper induced subgraph of G containing X is prime. From this perspective, I. Boudabbous proposes to find the (−k)-critical graphs and k-minimal graphs for some in… Show more
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