Handbook of Optimization in Telecommunications

M.G.C. Resende and P.M. Pardalos (Editors)
Springer Science + Business Media, 2006.







Handbook of Optimization in Telecommununications

Chapter 18



Steiner tree problems in telecommunications


S. Voss


Abstract




Connecting a given set of points at minimum cost may be rated as one of the most important problems in telecommunications network design. Related questions may be formulated in metric spaces as well as in graphs. Given a weighted graph, the Steiner tree problem in graphs asks to determine a minimum cost subgraph spanning a set of specified vertices. This problem may be viewed as the combinatorial optimization problem in telecommunications. In this chapter, we survey Steiner problems from a telecommunications perspective with a special emphasis on the problem in graphs.


Keywords: Steiner tree problems, telecommunications, network design, graphs.