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COMBINATORICS
2007
15 years 3 months ago
2007
The dartboard problem is to arrange n numbers on a circle to obtain maximum risk, which is the sum of the q-th power of the absolute differences of adjacent
108
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COMBINATORICS
2007
15 years 3 months ago
2007
We compute the spectrum of the Schreier graph of the symmetric group Sn corresponding to the Young subgroup S2 × Sn−2 and the generating set consisting of initial reversals. In ...
121
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COMBINATORICS
2007
15 years 3 months ago
2007
This paper deals with new infinite families of small dense sets in desarguesian projective planes PG(2, q). A general construction of dense sets of size about 3q2/3 is presented....
89
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COMBINATORICS
2007
15 years 3 months ago
2007
Let F4 be the root system associated with the 24-cell, and let M(F4) be the simple linear dependence matroid corresponding to this root system. We determine the automorphism group...
COMBINATORICS
2007
15 years 3 months ago
2007
By combining the functional equation method with Jacobi’s triple product identity, we establish a general equation with five free parameters on the modified Jacobi theta functi...