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COMBINATORICS
2006
14 years 9 months ago
2006
We present both probabilistic and constructive lower bounds on the maximum size of a set of points S Rd such that every angle determined by three points in S is acute, considerin...
COMBINATORICS
2006
14 years 9 months ago
2006
The set of cycle lengths of almost all permutations in Sn are "Poisson distributed": we show that this remains true even when we restrict the number of cycles in the per...
COMBINATORICS
2006
14 years 9 months ago
2006
A d-dimensional hypercube drawing of a graph represents the vertices by distinct points in {0, 1}d, such that the line-segments representing the edges do not cross. We study lower...
COMBINATORICS
2006
14 years 9 months ago
2006
In this paper, we prove the existence of a cyclic (v, 4, 1)-BIBD for v = 12t + 4, 3 t 50 using computer programs, which are useful in recursive constructions for cyclic designs....
COMBINATORICS
2006
14 years 9 months ago
2006
The linear complexity of a matrix is a measure of the number of additions, subtractions, and scalar multiplications required to multiply that matrix and an arbitrary vector. In th...