A **tree spanner** is a concept in graph theory that involves spanning trees of a given graph. Specifically, a tree spanner of a connected graph \( G \) is a spanning tree \( T \) such that the distance between any two vertices in \( T \) is at most \( K \) times the distance between those vertices in \( G \). Here, \( K \) is a positive integer known as the stretch factor.
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