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A simple optimal algorithm for k-tuple dominating problem in interval graphs

Author

Listed:
  • Peng Li

    (Chongqing University of Technology)

  • Aifa Wang

    (Chongqing University of Technology)

  • Jianhui Shang

    (Shanghai Jiao Tong University)

Abstract

In this paper, we study the k-tuple domination in interval graphs from an algorithmic point of view. We present a linear time algorithm to solve the k-tuple domination problem in interval graphs for any positive integer k. Surprisingly, the time complexity of our algorithm is not related to k. This generalizes and extends the results of Pramanik et al. (Int J Comb 2011:14, 2011).

Suggested Citation

  • Peng Li & Aifa Wang & Jianhui Shang, 2023. "A simple optimal algorithm for k-tuple dominating problem in interval graphs," Journal of Combinatorial Optimization, Springer, vol. 45(1), pages 1-9, January.
    • Handle: RePEc:spr:jcomop:v:45:y:2023:i:1:d:10.1007_s10878-022-00932-4
    DOI: 10.1007/s10878-022-00932-4
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