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A Note on Explicit Ramsey Graphs and Modular Sieves


In a previous paper [4] we found a relation between the ranks of co-diagonal matrices (matrices with zeroes in their diagonal and nonzeroes elsewhere) and the quality of explicit Ramsey graph constructions. We also gave a construction based on the BBR polynomial of Barrington, Beigel and Rudich [1]. In the present work we give another construction for low-rank co-diagonal matrices, based on a modular sieve formula.

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Combinatorics, Probability and Computing
  • ISSN: 0963-5483
  • EISSN: 1469-2163
  • URL: /core/journals/combinatorics-probability-and-computing
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