The Average-Case Complexity of Counting Cliques in Erdos-Renyi Hypergraphs

Explore the intricacies of counting cliques in Erdos-Renyi hypergraphs in this 18-minute IEEE conference talk. Delve into uniform hypergraphs, lower bounds, and motivation behind the research. Gain insights into related work and the main theorem presented. Learn about proof techniques, including random KQ accounting and its reduction. Understand the role of binary expansions in the analysis. Conclude by examining open problems in the field, providing a comprehensive overview of average-case complexity in hypergraph clique counting.

Intro
Uniform Hypergraphs
Lower Bounds
Motivation
Related Work
Main Theorem
Proof Techniques
Random KQ Accounting
Reducing KQ Accounting
Binary Expansions
Open Problems