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تسجيل مستخدم جديدOn the Enumeration of all Minimal Triangulations
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We present an algorithm that enumerates all the minimal triangulations of a graph in incremental polynomial time. Consequently, we get an algorithm for enumerating all the proper tree decompositions, in incremental polynomial time, where proper means that the tree decomposition cannot be improved by removing or splitting a bag.
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A tree decomposition of a graph facilitates computations by grouping vertices into bags that are interconnected in an acyclic structure, hence their importance in a plethora of problems such as query evaluation over databases and inference over proba
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