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Design of designs
Author(s) -
Laue Reinhard,
NikolovaPopova Daniela
Publication year - 2012
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.20302
Subject(s) - representation (politics) , mathematics , inclusion (mineral) , combinatorics , algebra over a field , theoretical computer science , computer science , pure mathematics , politics , political science , law , gender studies , sociology
Representing a design graphically can make certain properties of a design obvious that otherwise would require tedious reasoning. This holds for symmetries, resolvability, and subdesign inclusion in appropriate cases. We describe how a graphical representation can be achieved in many cases and show several examples, in particular visualizations of the biplanes on up to 16 vertices and subdesigns of the large Witt design. © 2011 Wiley Periodicals, Inc. J Combin Designs 20:1–22, 2012