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 (Digital Object Identifier) Link:	http://dx.doi.org/doi:10.1002/jcd.20153
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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.

Item Type:	Journal Article
ISSN:	1063-8539
Keywords:	Steiner system; Steiner triple system; coloring;
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	8315
Depositing User:	Terry Griggs
Date Deposited:	06 Jul 2007
Last Modified:	02 Dec 2010 20:01
URI:	http://oro.open.ac.uk/id/eprint/8315

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