On an infinite class of Steiner systems with t=3 and k=6
Journal of Combinatorial Theory Series A
Combinatorics of experimental design
Combinatorics of experimental design
Some results on quadrilaterals in Steiner triple systems
Discrete Mathematics
Designs and their codes
On the Binary Codes of Steiner Triple Systems
Designs, Codes and Cryptography - Special issue dedicated to Hanfried Lenz
Graph Theory With Applications
Graph Theory With Applications
Edward F. Assmus, Jr. (1931–1998)
Designs, Codes and Cryptography - Special issue on designs and codes—a memorial tribute to Ed Assmus
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We attach a graph to every Steiner triple system. Thechromatic number of this graph is related to the possibilityof extending the triple system to a quadruple system. For example,the triple systems with chromatic number one are precisely theclassical systems of points and lines of a projective geometryover the two-element field, the Hall triple systems have chromaticnumber three (and, as is well-known, are extendable) and allSteiner triple systems whose graph has chromatic number two areextendable. We also give a configurational characterization ofthe Hall triple systems in terms of mitres.