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Repeated communication and Ramsey graphs

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2 Author(s)
Alon, N. ; AT&T Bell Labs., Murray Hill, NJ, USA ; Orlitsky, A.

We study the savings afforded by repeated use in two zero-error communication problems. We show that for some random sources, communicating one instance requires arbitrarily many bits, but communicating multiple instances requires roughly 1 bit per instance. We also exhibit sources where the number of bits required for a single instance is comparable to the source's size, but two instances require only a logarithmic number of additional bits. We relate this problem to that of communicating information over a channel. Known results imply that some channels can communicate exponentially more bits in two uses than they can in one use

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Information Theory, IEEE Transactions on  (Volume:41 ,  Issue: 5 )