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The Choice Number of Dense Random Graphs

Published online by Cambridge University Press:  01 January 2000

MICHAEL KRIVELEVICH
Affiliation:
School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540, USA (e-mail: [email protected])

Abstract

We prove that if the edge probability p(n) satisfies n−1/4+ε [les ] p(n) [les ] 3/4, where 0 < ε < 1/4 is a constant, then the choice number and the chromatic number of the random graph G(n, p) are almost surely asymptotically equal.

Type
Research Article
Copyright
2000 Cambridge University Press

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