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EJC
2007
14 years 9 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
62
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EJC
2007
14 years 9 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 9 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 9 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 9 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...