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EJC
2007
14 years 11 months ago
On the number of Tverberg partitions in the prime power case
We give an extension of the lower bound of [9] for the number of Tverberg partitions from the prime to the prime power case. Our proof is inspired by the Zp-index version of the p...
Stephan Hell
EJC
2007
14 years 11 months ago
Complexity of cutting words on regular tilings
: We show that the complexity of a cutting word u in a regular tiling by a polyomino Q is equal to Pn(u) = (p+q−1)n+1 for all n ≥ 0, where Pn(u) counts the number of distinct f...
Pascal Hubert, Laurent Vuillon
EJC
2007
14 years 11 months ago
The geometry of secants in embedded polar spaces
Consider a polar space S weakly embedded in a projective space P. A secant of S is the intersection of the point set of S with a line of P spanned by two non-collinear points of S...
Hans Cuypers
EJC
2007
14 years 11 months ago
An extension of the Cayley-Sylvester formula
Abstract. We extend the Cayley-Sylvester formula for symmetric powers of SL2(C)modules, to plethysms defined by rectangle partitions. Ordinary partitions are replaced by plane par...
Laurent Manivel
EJC
2007
14 years 11 months ago
Representations of directed strongly regular graphs
We develop a theory of representations in Rm for directed strongly regular graphs, which gives a new proof of a nonexistence condition of Jørgensen [8]. We also describe some new...
Chris D. Godsil, Sylvia A. Hobart, William J. Mart...