## Approximation Algorithms for the Capacitated Minimum Spanning Tree Problem and its Variants in Network Design (2004)

Citations: | 7 - 4 self |

### BibTeX

@MISC{Jothi04approximationalgorithms,

author = {Raja Jothi and Balaji Raghavachari},

title = {Approximation Algorithms for the Capacitated Minimum Spanning Tree Problem and its Variants in Network Design},

year = {2004}

}

### OpenURL

### Abstract

Given an undirected graph G = (V, E) with non-negative costs on its edges, a root node r V with demand v D wishing to route w(v) units of flow (weight) to r, and a positive number k, the Capacitated Minimum Steiner Tree (CMStT) problem asks for a minimum Steiner tree, rooted at r, spanning the vertices in D in which the sum of the vertex weights in every subtree hanging o# r is at most k. When D = V , this problem is known as the Capacitated Minimum Spanning Tree (CMST) problem. Both CMStT and CMST problems are NP-hard. In this paper, we present approximation algorithms for these problems and several of their variants in network design. Our main results are the following.