An Improved Lower Bound for the Randomized Decision Tree Complexity of Recursive Majority,

Author(s):  
Nikos Leonardos
2013 ◽  
Vol 44 (3) ◽  
pp. 42-55
Author(s):  
Raghav Kulkarni

2005 ◽  
Vol DMTCS Proceedings vol. AD,... (Proceedings) ◽  
Author(s):  
Amr Elmasry

International audience Given a set $\mathcal{S}$ with real-valued members, associated with each member one of two possible types; a multi-partitioning of $\mathcal{S}$ is a sequence of the members of $\mathcal{S}$ such that if $x,y \in \mathcal{S}$ have different types and $x < y$, $x$ precedes $y$ in the multi-partitioning of $\mathcal{S}$. We give two distribution-sensitive algorithms for the set multi-partitioning problem and a matching lower bound in the algebraic decision-tree model. One of the two algorithms can be made stable and can be implemented in place. We also give an output-sensitive algorithm for the problem.


2001 ◽  
Vol 168 (2) ◽  
pp. 113-124 ◽  
Author(s):  
Anna Bernasconi ◽  
Carsten Damm ◽  
Igor Shparlinski

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