Individual Communication Complexity

Harry Buhrman; Hartmut Klauck; Nikolai Vereshchagin; Paul Vitanyi

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Individual Communication Complexity

Harry Buhrman·Hartmut Klauck·Nikolai Vereshchagin·Paul Vitanyi

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Abstract

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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Harry Buhrman, Hartmut Klauck, Nikolai Vereshchagin, Paul Vitanyi. 2003-04-08. Individual Communication Complexity. https://arxiv.org/abs/cs/0304012

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