Classification of Local Optimization Problems in Directed Cycles

This paper presents a complete classification of the distributed computational complexity for local optimization problems in directed cycles within both deterministic and randomized LOCAL models, identifying four distinct complexity classes and providing an efficient meta-algorithm to automatically determine the complexity and synthesize optimal distributed algorithms for any given problem.

Thomas Boudier, Fabian Kuhn, Augusto Modanese + 2 more2026-03-06💻 cs