Abstract

AbstractWe study the list chromatic number of Steiner triple systems. We show that for every integer s there exists n0=n0(s) such that every Steiner triple system on n points STS(n) with n≥n0 has list chromatic number greater than s. We also show that the list chromatic number of a STS(n) is always within a log n factor of its chromatic number. © 2009 Wiley Periodicals, Inc. J Combin Designs 17: 314–322, 2009

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