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IPL
2006
88views more  IPL 2006»
13 years 4 months ago
On Quickselect, partial sorting and Multiple Quickselect
We present explicit solutions of a class of recurrences related to the Quickselect algorithm. Thus we are immediately able to solve recurrences arising at the partial sorting probl...
Markus Kuba
DM
2008
90views more  DM 2008»
13 years 4 months ago
On sums of binomial coefficients and their applications
In this paper we study recurrences concerning the combinatorial sum n r m = kr (mod m) n k and the alternate sum kr (mod m)(-1)(k-r)/m n k , where m > 0, n 0 and r are integers....
Zhi-Wei Sun
ICALP
1993
Springer
13 years 8 months ago
Exact Asymptotics of Divide-and-Conquer Recurrences
The divide-and-conquer principle is a majoi paradigm of algorithms design. Corresponding cost functions satisfy recurrences that directly reflect the decomposition mechanism used i...
Philippe Flajolet, Mordecai J. Golin
ISSAC
2007
Springer
147views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Differential equations for algebraic functions
It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their po...
Alin Bostan, Frédéric Chyzak, Bruno ...