All λ‐Designs with Small λ are Type‐1 |
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| Authors: | Naushad Pasha Puliyambalath Ákos Seress Iván Weisz |
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| Institution: | 1. The Ohio State University, , Columbus, Ohio, 43210;2. Centre for the Mathematics of Symmetry and Computation, The University of Western Australia, , Crawley, WA, 6009 Australia |
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| Abstract: | A λ‐design is a family  of subsets of  such that  for all  and not all  are of the same size. Ryser's and Woodall's λ‐design conjecture states that each λ‐design can be obtained from a symmetric block design by a certain complementation procedure. Our main result is that the conjecture is true when λ < 63. © 2012 Wiley Periodicals, Inc. J. Combin. Designs 20: 408–431, 2012 |
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| Keywords: | λ -design λ -design conjecture |
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