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90
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DCG
1999
58views more  DCG 1999»
15 years 20 hour ago
Nonexistence of Certain Spherical Designs of Odd Strengths and Cardinalities
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 . ...
Peter Boyvalenkov, Danyo Danev, Svetla Nikova
DCG
1999
81views more  DCG 1999»
15 years 20 hour ago
Properties of Random Triangulations and Trees
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...
Luc Devroye, Philippe Flajolet, Ferran Hurtado, Ma...
95
Voted
DCG
1999
93views more  DCG 1999»
15 years 20 hour ago
New Maximal Numbers of Equilibria in Bimatrix Games
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 ...
Bernhard von Stengel
75
Voted
DCG
2000
76views more  DCG 2000»
15 years 5 days ago
A Central Limit Theorem for Convex Chains in the Square
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...
Imre Bárány, Günter Rote, Willi...
DCG
2000
90views more  DCG 2000»
15 years 5 days ago
On the Cocircuit Graph of an Oriented Matroid
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...
Raul Cordovil, Komei Fukuda, António Guedes...