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Undergraduate
By
Shiva Kintali
on Oct. 17, 2012 | Updated Dec. 6, 2017
Comparison-based merging
You are given two sorted lists A and B of length \(m\) and \(n\) (where \(m \geq n\)). Your goal is to merge them into a new sorted list C. Prove that any comparison-based algorithm for merging A …
Computer Science
Algorithms
lower bound
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Graduate
By
Shiva Kintali
on June 10, 2012 | Updated Dec. 6, 2017
Size of monotone circuits
Prove that there is a monotone boolean function \(f(x_{1}, x_{2},\dots,x_{n})\) such that any circuit (consisting of only AND, OR gates) computing \(f\) requires at least …
Computer Science
Complexity Theory
circuit complexity
lower bound
monotone function
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