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Robust domination in random graphs

Author

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  • Ghurumuruhan Ganesan

    (IISER Bhopal)

Abstract

In this paper, we study “robust” dominating sets of random graphs that retain the domination property even if a small deterministic set of edges are removed. We motivate our study by illustrating with examples from wireless networks in harsh environments. We then use the probabilistic method and martingale difference techniques to determine sufficient conditions for the asymptotic optimality of the robust domination number. We also discuss robust domination in sparse random graphs where the number of edges grows at most linearly in the number of vertices.

Suggested Citation

  • Ghurumuruhan Ganesan, 2024. "Robust domination in random graphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 55(2), pages 427-438, June.
    • Handle: RePEc:spr:indpam:v:55:y:2024:i:2:d:10.1007_s13226-023-00374-6
    DOI: 10.1007/s13226-023-00374-6
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