Research provides exact distribution of massive spanning forests, revealing local limits for complete graphs, suggesting new insights into uniform spanning trees.
We provide new exact formulas for the distribution of massive spanning forests on the complete graph, which give also a new outlook on the celebrated special case of the uniform spanning tree. As a corollary we identify their local limit. This generalizes a well‐known theorem of Grimmett on the local limit of uniform spanning trees on the complete graph.
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d'Achille et al. (2026) studied this question.
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