A note on triangle‐free quasi‐symmetric designs |
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Authors: | Rajendra M Pawale |
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Institution: | Department of Mathematics, University of Mumbai, Mumbai‐400 098, India |
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Abstract: | Triangle‐free quasi‐symmetric 2‐ (v, k, λ) designs with intersection numbers x, y; 0<x<y<kand λ>1, are investigated. It is proved that λ?2y ? x ? 3. As a consequence it is seen that for fixed λ, there are finitely many triangle‐free quasi‐symmetric designs. It is also proved that: k?y(y ? x) + x. Copyright © 2011 Wiley Periodicals, Inc. J Combin Designs 19:422‐426, 2011 |
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Keywords: | quasi‐symmetric design strongly regular graph |
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