We consider the minimum cost spanning tree problem under the restriction that all degrees must be at most a given value k. We show that we can efficiently find a spanning tree o...
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 minimum-cost k-hop spanning tree (k-hop MST) problem, we are given a set S of n points in a metric space, a positive small integer k and a root point r ∈ S. We are intere...
We develop an external memory algorithm for computing minimum spanning trees. The algorithm is considerably simpler than previously known external memory algorithms for this proble...
Roman Dementiev, Peter Sanders, Dominik Schultes, ...
A deterministic algorithm for computing a minimum spanning tree of a connected graph is presented. Its running time is O(m (m, n)), where is the classical functional inverse of Ack...