We show that for every n-point metric space M and positive integer k, there exists a spanning tree T with unweighted diameter O(k) and weight w(T) = O(k · n1/k ) · w(MST(M)), an...
This paper presents a lower bound of (D + n/ log n) on the time required for the distributed construction of a minimum-weight spanning tree (MST) in weighted n-vertex networks of ...
Given a connected, weighted, undirected graph G and a bound D, the bounded-diameter minimum spanning tree problem seeks a spanning tree on G of lowest weight in which no path betw...
In the b-degree constrained Euclidean minimum spanning tree problem (bMST) we are given n points in [0;1]d and a degree constraint b 2. The aim is to nd a minimum weight spannin...