New heuristics for two bounded-degree spanning tree problems

  • Authors:

  • Shyam Sundar;Alok Singh;André Rossi

  • Affiliations:

  • Department of Computer and Information Sciences, University of Hyderabad, Hyderabad 500 046, India;Department of Computer and Information Sciences, University of Hyderabad, Hyderabad 500 046, India;Lab-STICC, Université de Bretagne-Sud, 56321 Lorient Cedex, France

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2012

Quantified Score

Hi-index 0.07

Visualization

Abstract

A vertex v of a connected graph G=(V,E) is called a branch vertex if its degree is greater than two. Pertaining to branch vertices, this paper studies two optimization problems having roots in the domain of optical networks. The first one, referred to as MBV, seeks a spanning tree T of G with the minimum number of branch vertices, whereas the second problem, referred to as MDS, seeks a spanning tree T of G with the minimum degree sum of branch vertices. Both MBV and MDS are NP-Hard. Two heuristics approaches are presented for each problem. The first approach is a problem specific heuristic, whereas the latter one is a hybrid ant-colony optimization algorithm. Computational results show the effectiveness of our proposed approaches.