MODELS DEVELOPMENT FOR SINGLE–ROW NETWORKS FROM CONNECTED GRAPHS

Authors

  • SER LEE LOH Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • SHAHARUDDIN SALLEH Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • NOR HANIZA SARMIN Department of Mathematical Sciences, Faculty of Science & Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

DOI:

https://doi.org/10.11113/jt.v57.1529

Keywords:

Single–row network, transformation, connected graph, tree, simulated annealing

Abstract

In this paper, we present a collection of models for connected graphs mapping into single–row networks. The collection involves three specific models for perfect binary trees, trees and partially dense graphs, and three general models for connected graphs. These models are compared in terms of their structures, energy values, congestion and number of doglegs in the single–row transformation. The numerical experiments are run by each respective developed program. The transformation is necessary in applications such as in the assignment of telephone channels to caller–receiver pairs roaming in cells in a cellular network on real–time basis.

References

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Published

2012-02-15

How to Cite

MODELS DEVELOPMENT FOR SINGLE–ROW NETWORKS FROM CONNECTED GRAPHS. (2012). Jurnal Teknologi (Sciences & Engineering), 57(1). https://doi.org/10.11113/jt.v57.1529