The Communication Complexity of Local Search
Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, Volume abs/1804.02676, 2019, Pages 650-661.
We study a communication variant of local search. There is some fixed, commonly known graph G. Alice holds fA and Bob holds fB, both are functions that specify a value for each vertex. The goal is to find a local maximum of fA+fB with respect to G, i.e., a vertex v for which (fA+fB)(v)≥ (fA+fB)(u) for each neighbor u of v. Our main resu...More
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