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        <dc:date>2011-01-13T16:40:07+00:00</dc:date>
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        <description>Preface
  My notes on Preface
Brief Summary

	*  The idea of algorithms are pervasive, its applications can be found in just about every discipline.  
	*  the subject of algorithms is a powerful lens through which to view the field of computer science in general.</description>
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        <dc:date>2011-01-19T04:46:09+00:00</dc:date>
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        <title>chapter_1</title>
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        <description>Chapter 1

My notes on Chapter 1 readings

1.1: Stable Matching Problem

Brief Summary

This sections talks about the origination of the matching problem and the real-life implications such problem can have. A stable, self-enforcing matching system has to be established in order to have everyone’s self-interest prevent offers from being retracted or redirected. The section then shows an algorithm that produces stable matching and shows a proof of the effectiveness of the algorithm.</description>
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        <dc:date>2011-01-25T01:52:16+00:00</dc:date>
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        <title>chapter_2</title>
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        <description>Chapter 2

2.1 Computational Tractability

Summary

The author talks about why worst-case approach the complexity is used rather than its seemingly attractive alternative---average performance. It is hard to define what random input should we generate to evaluate the complexity.</description>
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        <dc:date>2011-02-16T12:33:29+00:00</dc:date>
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        <title>chapter_3</title>
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        <description>3.1 Basic Definitions and Application

The summary 
Motivation of a graph: easy in representing pair-wise relationships within a system. 
Definition of a graph (categories: undirected and directed)
A graph consists of a number of nodes and edges. Edges in a graph indicate a symmetric relationship between their ends. Often we want to encode asymmetric relationships, and for this we use the closely related notion of a directed graph.
Some example applications of the graph:
•	Transportation network…</description>
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        <dc:date>2011-03-02T03:13:35+00:00</dc:date>
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        <title>chapter_4</title>
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        <description>Chapter 4

definition of Greedy agorithm:
An algorithm is greedy if it builds up a solution in sma!l steps,
choosing a decision at each step myopically to optimize some underlying
criterion.
OR Finding the best step locally.

4.1 Interval Scheduling: The Greedy Algorithm Stays Ahead</description>
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        <dc:date>2011-03-14T04:13:09+00:00</dc:date>
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        <description>Overview

definition:P234
Divide and conquer refers to a class of algorithmic techniques in which one
breaks the input into several parts, solves the problem ifi each part recursively,
and then combines the solutions to these subproblems into an overall solution</description>
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        <dc:date>2011-04-06T16:41:26+00:00</dc:date>
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        <description>Overview

A good recap before moving on:

Algorithmic Paradigms
• Greedy. Build up a solution incrementally,
myopically optimizing some local criterion
• Divide-and-conquer. Break up a problem
into sub-problems, solve each sub-problem independently</description>
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        <dc:date>2011-04-06T20:59:22+00:00</dc:date>
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        <title>chapter_7</title>
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        <description>7.1 The Maximum-Flow Problem and the Ford-Fulkerson Algorithm

The Problem Motivation:

A few concepts:
to model transportation networks--networks whose edges carry some sort of traffic and whose nodes act as “switches” passing
traffic between different edges. 
Network models of this type have several ingredients:</description>
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        <dc:date>2011-04-06T16:43:46+00:00</dc:date>
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        <title>home</title>
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        <description>Chen&#039;s Journal

	*  Preface
	*  Chapter 1: Introduction
	*  Chapter 2: Algorithm Analysis
	*  Chapter 3: Graphs
	*  Chapter 4: Greedy Algorithms
	*  Chapter 5: Divide artd Cortquer
	*  Chapter 6: Dynamic programming
	*  Chapter 6: Network Flow</description>
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