Table of Contents
CSE 589 Part VIII
Reading
Splay Trees – award winning
Another implementation of a Dictionary:use binary search tree
Splay Trees
Amortized Analysis
Idea
List Update
Sleator & Tarjan
Application of these ideas here:
Splay trees
Crucial Operation called “Splay”
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Rest of dictionary operations
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How to implement Splay (K,T)?
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Better proposal
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The big theorem
Idea of Proof
More on idea of proof
Definitions
Using money during splay process
The Investment Lemma
Proof of Splay Tree Theorem using Investment Lemma
To prove investment lemma
Another Lemma
Cost of Splay Steps Lemma => Investment Lemma
Proof of Cost of Splay Steps Lemma
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Proof of Cost of Splay Steps Lemma, cont.
CSSL, Case 2(b) r’(p) = r(p)
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Proof of Cost of Splay Steps Lemma, cont.
Summary on Splay Trees
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Author: Anna Karlin
Email: karlin@cs.washington.edu
Home Page: http://www.cs.washington.edu/education/courses/589
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