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JCT
2008
46views more  JCT 2008»
14 years 12 months ago
A multi-dimensional approach to the construction and enumeration of Golay complementary sequences
We argue that a Golay complementary sequence is naturally viewed as a projection of a multidimensional Golay array. We present a three-stage process for constructing and enumerati...
Frank Fiedler, Jonathan Jedwab, Matthew G. Parker
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JCT
2008
53views more  JCT 2008»
14 years 12 months ago
A major index for matchings and set partitions
We introduce a statistic pmaj(P) for partitions of [n], and show that it is equidistributed with cr2, the number of 2-crossings, over all partitions of [n] with given sets of mini...
William Y. C. Chen, Ira M. Gessel, Catherine H. Ya...
JCT
2008
100views more  JCT 2008»
14 years 12 months ago
Optimal distortion embeddings of distance regular graphs into Euclidean spaces
ABSTRACT. In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least dist...
Frank Vallentin
JCT
2008
78views more  JCT 2008»
14 years 12 months ago
A partition bijection related to the Rogers-Selberg identities and Gordon's theorem
We provide a bijective map from the partitions enumerated by the series side of the Rogers-Selberg mod 7 identities onto partitions associated with a special case of Basil Gordon&...
Andrew V. Sills
JCT
2008
138views more  JCT 2008»
14 years 12 months ago
There exists no Steiner system S(4, 5, 17)
If a Steiner system S(4, 5, 17) exists, it would contain derived S(3, 4, 16) designs. By relying on a recent classification of the S(3, 4, 16), an exhaustive computer search for S...
Patric R. J. Östergård, Olli Pottonen