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

Forbes A. D. | Zendy; Grannell M. J. | Zendy; Griggs T. S. | Zendy

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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

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