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New type B colorable S (2, 4, v ) designs
Author(s) -
Forbes A. D.,
Grannell M. J.,
Griggs T. S.
Publication year - 2007
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20153
Subject(s) - mathematics , combinatorics , type (biology) , point (geometry) , block (permutation group theory) , arithmetic , discrete mathematics , geometry , ecology , biology
An S (2, 4, v ) design has a type B χ‐coloring if it is possible to assign one of χ colors to each point such that each block contains three points of one color and one point of a different color, and all χ colors are used. In this article we describe the constructions of type B χ‐colorable S (2, 4, v )s for ( v , χ) = (61, 3), (100, 2) and (109, 3), and we give a new general construction. © 2007 Wiley Periodicals, Inc. J Combin Designs 15: 357–368, 2007