科研之友
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摘要
A lambda-design on v points is a set of v distinct subsets (blocks) of a v-set such that any two different blocks meet in exactly lambda points and not all of the blocks have the same size. Ryser's and Woodall's lambda-design conjecture states that every lambda-design can be obtained from a symmetric design by a certain complementation procedure. A result of Ryser and Woodall establishes that there exist two integers, r and r*, such that each point in a lambda-design is in exactly r or r* blocks. The main result of the present paper is that the lambda-design conjecture is true for lambda-designs with gcd(r - 1, r* - 1) = 7.
- 出版日期2010-10
