A New Measure for the Bandwidth Minimization Problem

  • Jose Torres-Jimenez
  • Eduardo Rodriguez-Tello
Conference paper

DOI: 10.1007/3-540-44399-1_49

Volume 1952 of the book series Lecture Notes in Computer Science (LNCS)
Cite this paper as:
Torres-Jimenez J., Rodriguez-Tello E. (2000) A New Measure for the Bandwidth Minimization Problem. In: Monard M.C., Sichman J.S. (eds) Advances in Artificial Intelligence. Lecture Notes in Computer Science, vol 1952. Springer, Berlin, Heidelberg

Abstract

The Bandwidth Minimization Problem for Graphs (BMPG) can be defined as finding a labeling for the vertices of a graph, where the maximum absolute difference between labels of each pair of connected vertices is minimum. The most used measure for the BMPG algorithms isβ, that indicates only the maximum of all absolute differences.

After analyzing some drawbacks of β, a measure, calledγ, which uses a positional numerical system with variable base and takes into account all the absolute differences of a graph is given.

In order to test the performance of γ and β a stochastic search procedure based on a Simulated Annealing (SA) algorithm has been applied to solve the BMPG. The experiments show that the SA that uses γ has better results for many classes of graphs than the one that uses β.

Keywords

Bandwidth Metric Bandwidth Minimization Problem Graphs Simulated Annealing 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Jose Torres-Jimenez
    • 1
  • Eduardo Rodriguez-Tello
    • 1
  1. 1.ITESM, Campus MorelosLomas de CuernavacaMEXICO