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DCG
1999
13 years 7 months ago
1999
A spherical -design on Sn-1 is a finite set such that, for all polynomials f of degree at most , the average of f over the set is equal to the average of f over the sphere Sn-1 . ...
DCG
1999
13 years 7 months ago
1999
Let Tn denote the set of triangulations of a convex polygon K with n sides. We study functions that measure very natural "geometric" features of a triangulation Tn, fo...
DCG
1999
13 years 7 months ago
1999
This paper presents a new lower bound of 2:414d= p d on the maximal number of Nash equilibria in d d bimatrix games, a central concept in game theory. The proof uses an equivalent ...
DCG
2000
13 years 7 months ago
2000
Points P1, . . . , Pn in the unit square define a convex n-chain if they are below y = x and, together with P0 = (0, 0) and Pn+1 = (1, 1), they are in convex position. Under unifo...
DCG
2000
13 years 7 months ago
2000
In this paper we consider the cocircuit graph GM of an oriented matroid M, the 1-skeleton of the cell complex W formed by the span of the cocircuits of M. In general, W is not dete...