Repeated communication and Ramsey graphs

Noga Mordechai Alon, Alon Orlitsky

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Studies the savings afforded by repeated use in two zero-error communication problems. 1. Channel coding: proving a correspondence between Ramsey numbers and independence numbers of normal graph powers, the authors show that some channels can communicate exponentially more bits in two uses than they can in one use, and that this is essentially the largest possible increase. Using probabilistic constructions of self-complementary Ramsey graphs, the authors show that similar results hold even when the number of transmissible bits is large relative to the channel's size. 2. Dual-source coding: using probabilistic colorings of directed line graphs, the authors show that there are dual sources where communicating one instance requires arbitrarily many bits, yet communicating many instances requires at most two bits per instance. For dual sources where the number of bits required for a single instance is comparable to the source's size, they employ probabilistic constructions of self-complementary Ramsey graphs that are also Cayley graphs to show that conveying two instances may require only a logarithmic number of additional bits over that needed to convey one instance.

Original languageEnglish (US)
Title of host publicationProceedings - 1994 IEEE International Symposium on Information Theory, ISIT 1994
Number of pages1
DOIs
StatePublished - Dec 1 1994
Externally publishedYes
Event1994 IEEE International Symposium on Information Theory, ISIT 1994 - Trondheim, Norway
Duration: Jun 27 1994Jul 1 1994

Other

Other1994 IEEE International Symposium on Information Theory, ISIT 1994
CountryNorway
CityTrondheim
Period6/27/947/1/94

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

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    Alon, N. M., & Orlitsky, A. (1994). Repeated communication and Ramsey graphs. In Proceedings - 1994 IEEE International Symposium on Information Theory, ISIT 1994 [394703] https://doi.org/10.1109/ISIT.1994.394703