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

✍ Scribed by A. D. Forbes; M. J. Grannell; T. S. Griggs

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
141 KB
Volume
15
Category
Article
ISSN
1063-8539

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✦ Synopsis

Abstract

An S(2, 4, v) design has a type B χ‐coloring if it is possible to assign one of Ο‡ colors to each point such that each block contains three points of one color and one point of a different color, and all Ο‡ colors are used. In this article we describe the constructions of type B χ‐colorable S(2, 4, v)s for (v, Ο‡) = (61, 3), (100, 2) and (109, 3), and we give a new general construction. Β© 2007 Wiley Periodicals, Inc. J Combin Designs 15: 357–368, 2007

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