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Ramsey graphs contain many distinct induced subgraphs

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Abstract

It is shown that any graph onn vertices containing no clique and no independent set ont + 1 vertices has at least

$$2^{{n \mathord{\left/ {\vphantom {n {(2t^{20 \log (2t)} )}}} \right. \kern-\nulldelimiterspace} {(2t^{20 \log (2t)} )}}} $$

distinct induced subgraphs.

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References

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Authors and Affiliations

  1. 07960, Bellcore, Morristown, NJ, USA

    N. Alon

  2. Mathematical Institute of the Hungarian Academy of Sciences, Budapest, Hungary

    A. Hajnal

  3. Department of Mathematics, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel

    N. Alon

Authors
  1. N. Alon
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  2. A. Hajnal
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Alon, N., Hajnal, A. Ramsey graphs contain many distinct induced subgraphs. Graphs and Combinatorics 7, 1–6 (1991). https://doi.org/10.1007/BF01789457

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  • DOI: https://doi.org/10.1007/BF01789457

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