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

作者:Forbes A D*; Grannell M J; Griggs T S
来源:Journal of Combinatorial Designs, 2007, 15(4): 357-368.
DOI:10.1002/jcd.20153

摘要

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

  • 出版日期2007-7

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