The Choice Number of Dense Random Graphs

  • Authors:
  • Michael Krivelevich

  • Affiliations:
  • School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540, USA (e-mail: mkrivel@math.ias.edu)

  • Venue:
  • Combinatorics, Probability and Computing
  • Year:
  • 2000

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Abstract

We prove that if the edge probability p(n) satisfies n−1/4+ε ≤ p(n) ≤ 3/4, where 0 G(n, p) are almost surely asymptotically equal.