On the complexity of finding sparsest and densest parts in wireless networks

  • Authors:
  • András Faragó

  • Affiliations:
  • Technical Univ. of Budapest, Budapest, Hungary

  • Venue:
  • Wireless Networks
  • Year:
  • 1995

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Abstract

The concepts of sparse and dense subnetworks in wireless networks are investigated with the analysis of their algorithmic complexity. The emphasis is on the polynomial-time solvability of the tasks vs. NP-hardness. The results show that with appropriately defined sparsity and density concepts quite a few efficiently solvable cases arise. Several examples are exhibited to show how the graph theoretical concepts are mapped into various types of wireless networks.