Báo cáo toán học: "Small Group Divisible Steiner Quadruple Systems" ppt

... approximate the s ingular fourth-order BVP to singular second-order BVP by constructing an inte- gral operator. In Section 3, the sufficient condition for the existence of single and mul- tiple ... approved the final manuscript. Competing interests We declare that we have no significant competing financial, professional, or personal interests that might have influenced the performance o...

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... permutation π n Recognizing Group Languages with OBDDs 371 For a fixed n,anordering of the variables x 1 ,x 2 , ,x n is a permutation π on the set {1, 2, ,n}, i.e., an element of the symmetric group S n .Wenowde- fine ... the OBDD computes the Boolean function. Fig. 1. An OBDD with the permutation π(1) =2, π(2) =4, π(3) =3, π(4) =1 Recognizing Group Languages with OBDDs 37...

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Ngày tải lên: 07/08/2014, 05:23

... systems on fifteen elements, Mem. Nat. Acad. Sc. USA 14, second memoir (1919) 1-89. Codes, Lattices, and Steiner Systems Patrick Sol´e ∗ , CNRS, I3S, ESSI, BP 145, Route des Colles, 06 903 Sophia ... explicit determination of root systems and lattices involved. 5 Acknowledgements We thank Ed Assmus, Michel Deza, and Vladimir Tonchev for sending us their preprints and Chris Charnes...

Ngày tải lên: 07/08/2014, 06:20

... chromatic number of the forbidden subgraph). Our results provide bounds that are remarkably accurate for small forbidden configurations but we still have some small forbidden configurations for which ... the work begun by Anstee, Griggs and Sali on small forbidden configurations. In the notation of (0,1)-matrices, we consider a (0,1)-matrix F (the forbidden conguration), an m ì n...

Ngày tải lên: 07/08/2014, 06:22

... . r. Proof. If (X, H, B) is a group divisible Steiner quadruple system on v = |X| points and x ∈ H ∈ H, then the derived design with respect to x is an incomplete Steiner triple system of order ... combinatorics 15 (2008), #R40 10 This article will concentrate on the second generalization. A group divisible Steiner quadruple system, is a triple (X, H, B) where X is a v-elem...

Ngày tải lên: 07/08/2014, 15:23

... t he result follows.  4 Maximal sum-free sets of size at most 2 First we determine all gr oups with a maximal sum-free set of size 1. Theorem 4.1 Let S be a maximal sum-free set of size 1 in ... possibilities does yield a maximal sum-free set.  We now begin our investigation o f maximal sum-free sets of size 2. Proposition 4.2 Let S = {a, b} be a maximal sum-free s e...

Ngày tải lên: 07/08/2014, 21:21

... of order 9 is the system having an automorphism group of order 432, and the other two STS(19) with 12 subsystems of order 7 are the systems having automorphism groups of orders 108 and 144. The ... Nonexistence of perfect Steiner triple systems of orders 19 and 21, Bayreuth. Math. Schr. 74 (2005), 130 135. [26] P. Kaski and P. R. J. ă Ostergard, The Steine...

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