The Stein-Lovász Theorem and Its Applications to Some Combinatorial arrays

  title={The Stein-Lov{\'a}sz Theorem and Its Applications to Some Combinatorial arrays},
  author={D. Deng and Yuan Zhang and Pak Ching Li and G. H. John van Rees},
The Stein-Lovász Theorem can be used to get existence results for some combinatorial problems using constructive methods rather than probabilistic methods. In this paper, we discuss applications of the Stein-Lovász Theorem to some combinatorial set systems and arrays, including perfect hash families, separating hash families, splitting systems, covering designs, lotto designs and ∆-free systems. We also compare some of the bounds obtained from the Stein-Lovász Theorem to those using the basic… CONTINUE READING

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