New results for quasi-symmetric designs- an application of MACSYMA

Meyerowitz, Aaron ; Sane, Sharad S. ; Shrikhande, Mohan S. (1986) New results for quasi-symmetric designs- an application of MACSYMA Journal of Combinatorial Theory - Series A, 43 (2). pp. 277-290. ISSN 0097-3165

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0097-3165(86)90067-1

Abstract

Quasi-symmetric designs with block intersection numbers x and y are investigated. Let Γ be the usual block graph of such a design. Let c be the number of triangles on any edge of Γ , the complement of Γ. It is shown that for fixed values of x, y≥ 2 and c̅ ≥ 0 there are only finitely many such designs. This extends earlier results about quasi-symmetric designs with special properties. We show connections with strongly resolvable designs and also with designs considered by Holliday. The symbolic calculations were carried out using MACSYMA.

Item Type:Article
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Deposited On:02 Nov 2011 03:10
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