O(log log n) Passes is Optimal for Semi-Streaming Maximal Independent Set

Explore a groundbreaking lecture on the optimality of O(log log n) passes for semi-streaming maximal independent set algorithms. Delve into the research presented by Sepehr Assadi from the University of Waterloo at the Workshop on Local Algorithms (WoLA). Examine the limitations of recent computational models in surpassing classical locality bounds, focusing on the maximal independent set (MIS) problem within the semi-streaming model. Discover the significance of the O(log n) randomized pass algorithm and its exponential speedup to O(log log n) passes. Uncover a new lower bound proving the impossibility of further improvements beyond this exponential speedup. Learn about the novel family of extremal graphs generalizing Ruzsa-Szemeredi graphs and the innovative round elimination technique for establishing communication and space complexity lower bounds in semi-streaming algorithms.