Given a metric graph G, we are concerned with finding a spanning tree of G where the maximum weighted degree of its vertices is minimum. In a metric graph (or its spanning tree),...
Mohammad Ghodsi, Hamid Mahini, Kian Mirjalali, Sha...
In their pioneering paper [4], Gallager et al. introduced a distributed algorithm for constructing the minimum-weight spanning tree (MST), many authors have suggested ways to enhan...
We consider the practical NP-complete problem of finding a minimum weight spanning tree with both edge weights and inner nodes weights. We present two polynomial time algorithms ...
Rudolf Fleischer, Qi Ge, Jian Li, Shijun Tian, Hai...
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
Given an undirected graph with weights associated with its edges, the Steiner tree problem consists of finding a minimum weight subtree spanning a given subset of (terminal) nodes...