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Finding Minimum Cost Data Collection Tree with Aggregation

Author

Listed:
  • Ihor Rusnak

    (Ben-Gurion University of the Negev)

  • Michael Segal

    (Ben-Gurion University of the Negev)

Abstract

In this paper we consider a special case of building a minimum cost data aggregation tree problem raised in the context of wireless sensor networks, when the sensors correspond to the nodes in the two-dimensional plane, and the distances between nodes are measured according to the (squared) Euclidean norm. We show that the problem is NP-hard for the general metric case and provide a number of approximation algorithms for this problem based on the concept of Dijkstra’s cheapest paths tree, Bounded-Hop Diameter Tree and Hamiltonian Cycle construction.

Suggested Citation

  • Ihor Rusnak & Michael Segal, 2025. "Finding Minimum Cost Data Collection Tree with Aggregation," Journal of Optimization Theory and Applications, Springer, vol. 206(1), pages 1-12, July.
    • Handle: RePEc:spr:joptap:v:206:y:2025:i:1:d:10.1007_s10957-025-02715-3
    DOI: 10.1007/s10957-025-02715-3
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