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Forbiddance and Capacity

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Abstract

We show that the maximum number of ternary sequences of length n such that no two of them feature all the three symbol pairs in their coordinates is 2(n+o(n)). In fact, we present a far more general theorem about problems of a similar nature. We explore the connections of our results to those on zero-error capacity of graph families.

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Authors and Affiliations

  1. Department of Computer Science, “La Sapienza” University of Rome, Via Salaria 113, 00198, Rome, Italy

    Emanuela Fachini & János Körner

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  1. Emanuela Fachini
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  2. János Körner
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Correspondence to János Körner.

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Fachini, E., Körner, J. Forbiddance and Capacity. Graphs and Combinatorics 27, 495–503 (2011). https://doi.org/10.1007/s00373-010-0987-9

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  • DOI: https://doi.org/10.1007/s00373-010-0987-9

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