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Finiteness Results in Triangle-Free Quasi-Symmetric Designs

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Abstract

Triangle-free quasi-symmetric 2-inline image designs with intersection numbers inline image; inline image and inline image are investigated. Possibility of triangle-free quasi-symmetric designs with inline image or inline image is ruled out. It is also shown that, for a fixed x and a fixed ratio inline image, there are only finitely many triangle-free quasi-symmetric designs. © 2012 Wiley Periodicals, Inc. J Combin Designs 00: 1-6, 2012

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