On symbolic OBDD-based algorithms for the minimum spanning tree problem

Heuristic Algorithms for the Generalized Minimum Spanning Tree Problem

We consider a generalization of the classical minimum spanning tree problem called the generalized minimum spanning tree problem and denoted by GMST problem. The aim of this paper is to present an exact exponential time algorithm for the GMST problem as well three heuristic algorithms, two of them based on Prim’s and Kruskal’s algorithms for the minimum spanning tree problem and one based on th...

A Metaheuristic Algorithm for the Minimum Routing Cost Spanning Tree Problem

The routing cost of a spanning tree in a weighted and connected graph is defined as the total length of paths between all pairs of vertices. The objective of the minimum routing cost spanning tree problem is to find a spanning tree such that its routing cost is minimum. This is an NP-Hard problem that we present a GRASP with path-relinking metaheuristic algorithm for it. GRASP is a multi-start ...

On the Minimum Label Spanning Tree Problem

On the Minimum Diameter Spanning Tree Problem

We point out a relation between the minimum diameter spanning tree of a graph and its absolute 1-center. We use this relation to solve the diameter problem and an extension of it eeciently.

On the Euclidean Minimum Spanning Tree Problem∗

Given a weighted graph G(V,E), a minimum spanning tree for G can be obtained in linear time using a randomized algorithm or nearly linear time using a deterministic algorithm. Given n points in the plane, we can construct a graph with these points as nodes and an edge between every pair of nodes. The weight on any edge is the Euclidean distance between the two points. Finding a minimum spanning...