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JCT
2008
46views more  JCT 2008»
14 years 9 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
JCT
2008
53views more  JCT 2008»
14 years 9 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 9 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 9 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 9 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