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4 Problems on Homework 9 - Analysis of Algorithms | CMSC 752, Assignments of Computer Science

University of Maryland Computer Science

Prof. William Gasarch

Material Type: Assignment; Professor: Gasarch; Subject: Computer Science; University: University of Maryland; Term: Fall 2008;

Typology: Assignments

Pre 2010

Uploaded on 02/13/2009

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Download 4 Problems on Homework 9 - Analysis of Algorithms | CMSC 752 and more Assignments Computer Science in PDF only on Docsity! Fall 2008 CMSC 752: Homework 9 Due: Nov 24 READING: All of the notes on Cell Probe Bit Probe Data structures. 1. (10 points) What is your name? 2. (30 points) Show that, for U , for all n ≥ 8, if there is a (U, n; s, 4) BPDS then s ≥ n7/8U1/8/2. 3. (30 points) A Probabilistic BPDS with error has a deterministic SETUP but a probabilititic QUERY ALGORITHM. Show that there exists a constant c0 such that, for all U , there is a Prob BPDS (U, 2; c0 √ U, 2) with error ≤ 1 3 . 4. (30 points) Fill in the XXX. Let G = (U, s, E). Show that if G is 12-regular and XXX- expanding then G is (7, 10)-useful. 1

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4 Problems on Homework 9 - Analysis of Algorithms | CMSC 752, Assignments of Computer Science

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