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Table 3 Estimations of the number of queries made to filters B 1 , B 2 , B 3 , B 4 and of the fraction of queries resolved by each filter (for the optimal value r =5 . 464), in the case of infinite number of filters

From: Using cascading Bloom filters to improve the memory usage for de Brujin graphs

 

B 1

B 2

B 3

B 4

nb of queries

8N

(2+6cr)N

(6cr+2cr)N

(2cr+6c2r)N

Queries returning yes

(2+6cr)N

(6cr+2cr)N

(2cr+6c2r)N

(6c2r+2c2r)N

Queries returning no

(6−6cr)N

(2−2cr)N

(6cr−6c2r)N

(2cr−2c2r)N

Fraction of resolved queries

69.57%

23.19%

5.04%

1.68%