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Question
what is the relationship between irrelevant information and edges in a minimum weight spanning tree?
In a minimum - weight spanning tree, irrelevant information typically has no direct impact on the selection of edges. A minimum - weight spanning tree is constructed based on edge weights and the goal of connecting all vertices with the minimum total weight. Irrelevant information that is not related to vertex - vertex connections or edge weights does not factor into the process of determining which edges are part of the minimum - weight spanning tree.
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There is usually no direct relationship as minimum - weight spanning tree edge selection is based on edge weights and connectivity, not on irrelevant non - weight and non - connectivity related information.