• Hardness of Approximation for Clique
  • Project Year: 2025
  • REU Student (s):   Gary Peng | University of Maryland-College Park MD  
  • Project Mentor (s) : Karthik Srikanta - Computer Science
  • Project Abstract: We present a simple proof that any constant-approximation for clique requires (n^{Omega(log n)}) time under the Exponential Time Hypothesis. In particular, our proof avoids the highly non-trivial PCP Theorem, the foundation for all known hardness-of-approximation results for clique at the time of writing.