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arXiv 2003-04-08 1 views

Individual Communication Complexity

Buhrman, Harry · Klauck, Hartmut · Vereshchagin, Nikolai · Vitanyi, Paul

Original · EN

We initiate the theory of communication complexity of individual inputs held by the agents, rather than worst-case or average-case. We consider total, partial, and partially correct protocols, one-way versus two-way, with and without help bits. The results are expressed in trems of Kolmogorov complexity.

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