Abstract
Given a tree T of order n, one can contract any edge and obtain a new tree T⁎ of order n−1. In 1983, Jamison made a conjecture that the mean subtree order, i.e., the average order of all subtrees, decreases at least 13 in contracting an edge of a tree. In 2023, Luo, Xu, Wagner and Wang proved the case when the edge to be contracted is a pendant edge. In this article, we prove that the conjecture is true in general.
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