In this chapter, we study the behavior of stochastic search algorithms on an important graph problem. We consider the well-known problem of computing a minimum spanning tree in a given undirected connected graph with n vertices and m edges. The problem has many applications in the area of network design. Assume that we have n computers that should be connected with minimum cost, where costs of a certain amount occur when one computer is connected to another one. The cost for a connection can, for example, be the distance between two considered computers. One needs to make n−1 connections between these computers such that all computers are able to communicate with each other. Considering a graph as a model for a possible computer network, it has n vertices and one searches for the set of edges with minimal cost that makes the graph connected.
Witt, C. (2014). Bioinspired computation in combinatorial optimization (pp. 647–686). Association for Computing Machinery (ACM). https://doi.org/10.1145/2598394.2605353