New type B colorable S(2, 4, v) designs

Forbes, A. D.; Grannell, M. J. and Griggs, T. S. (2007). New type B colorable S(2, 4, v) designs. Journal of Combinatorial Designs, 15(4) pp. 357–368.

DOI: https://doi.org/10.1002/jcd.20153

Abstract

An S(2, 4, v) design has a type B -coloring if it is possible to assign one of colors to each point such that each block contains three points of one color and one point of a different color, and all colors are used. In this article we describe the constructions of type B -colorable S(2, 4, v)s for (v, ) = (61, 3), (100, 2) and (109, 3), and we give a new general construction.

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