English

Exact recovery of planted cliques in semi-random graphs

Data Structures and Algorithms 2025-12-09 v5

Abstract

In this paper, we study the Planted Clique problem in a semi-random model. Our model is inspired from the Feige-Kilian model [16] which has been studied in many other works [8,11,17,26,35,38] for a variety of graph problems. Our algorithm and analysis is on similar lines to the one studied for the Densest kk-subgraph problem in the work of Khanna and Louis [25]. As a by-product of our main result, we give an alternate SDP-based rounding algorithm (with similar guarantees) for solving the Planted Clique problem in a random graph.

Keywords

Cite

@article{arxiv.2011.08447,
  title  = {Exact recovery of planted cliques in semi-random graphs},
  author = {Yash Khanna},
  journal= {arXiv preprint arXiv:2011.08447},
  year   = {2025}
}

Comments

24 pages. To appear in CALDAM 2026