Relative Merits of Minimum Cost Spanning Trees and Steiner Trees

G. Anandhi, S. K. Srivatsa

Abstract: This paper discusses about the concepts of Minimum cost spanning tree and what happens if it is used in place of Steiner tree. We show that the MSTP is equivalent to a Steiner Tree Problem (STP) in an adequate layered graph. We also adapt the proposed approach for the Diameter-Constrained Minimum Spanning Tree Problem (DMSTP). Although the HMSTP and the DMSTP have symmetric edge costs; we will focus on so-called directed formulations.

Keywords: HMSTP Minimum Spanning Tree Problem, Subtrees, MBST Minimum Botteleneck Spanning Tree, DMSTP Diameter-Constrained Minimum Spanning Tree

How to Cite?: G. Anandhi, S. K. Srivatsa, "Relative Merits of Minimum Cost Spanning Trees and Steiner Trees", Volume 3 Issue 5, May 2014, International Journal of Science and Research (IJSR), Pages: 236-239, https://www.ijsr.net/getabstract.php?paperid=20131621, DOI: https://dx.doi.org/10.21275/20131621