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research article
An improvement on the number of simplices in F-q(d)
Pham, Duc Hiep
•
Pham, Thang
•
Vinh, Le Anh
Let epsilon be a set of points in F-q(d). Bennett et al. (2016) proved that if \epsilon\ >> [GRAHICS] then epsilon determines a positive proportion of all k-simplices. In this paper, we give an improvement of this result in the case when epsilon is the Cartesian product of sets. Namely, we show that if kd epsilon is the Cartesian product of sets and [GRAHICS] = o(\epsilon), the number of congruence classes of k-simplices determined by epsilon is at least (1 - omicron(1)) [GRAPHICS] , and in some cases our result is sharp. (C) 2017 Elsevier B.V. All rights reserved.
Type
research article
Web of Science ID
WOS:000395607800011
Authors
Pham, Duc Hiep
•
Pham, Thang
•
Vinh, Le Anh
Publication date
2017
Publisher
Published in
Volume
221
Start page
95
End page
105
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
May 1, 2017
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