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Introduction | p. 1 |
Background | p. 3 |
Book Organization | p. 4 |
Acknowledgments | p. 7 |
Introduction to Graph Theory | |
Notations, Properties, and Representations | p. 11 |
Graph Terminology and Notations | p. 11 |
Graph Properties | p. 13 |
Graph Types | p. 14 |
Representing Graphs as Matrices | p. 15 |
Using Matrices to Compute Graph Properties | p. 16 |
Representing Graphs as Linked Lists | p. 17 |
Eigenvalues and Eigenvectors | p. 18 |
Graph-Based Algorithms | p. 20 |
Depth-First Graph Traversal | p. 20 |
Breadth-First Graph Traversal | p. 22 |
Minimum Spanning Trees | p. 23 |
Shortest-Path Algorithms | p. 26 |
Cuts and Flows | p. 29 |
Graph Matching | p. 31 |
Dimensionality Reduction | p. 32 |
Stochastic Processes on Graphs | p. 34 |
Harmonic Functions | p. 38 |
Random Walks | p. 40 |
Spreading Activation | p. 41 |
Electrical Interpretation of Random Walks | p. 42 |
Power Method | p. 44 |
Linear Algebra Methods for Computing Harmonic Functions | p. 45 |
Method of Relaxations | p. 46 |
Monte Carlo Methods | p. 47 |
Networks | |
Random Networks | p. 53 |
Networks and Graphs | p. 53 |
Random Graphs | p. 54 |
Degree Distributions | p. 54 |
Power Laws | p. 57 |
Zipf's Law | p. 58 |
Preferential Attachment | p. 61 |
Giant Component | p. 62 |
Clustering Coefficient | p. 62 |
Small Worlds | p. 63 |
Assortativity | p. 65 |
Centrality | p. 67 |
Degree Centrality | p. 67 |
Closeness Centrality | p. 68 |
Betweenness Centrality | p. 69 |
Network Example | p. 70 |
Dynamic Processes: Percolation | p. 72 |
Strong and Weak Ties | p. 74 |
Assortative Mixing | p. 76 |
Structural Holes | p. 76 |
Language Networks | p. 78 |
Co-Occurrence Networks | p. 78 |
Syntactic Dependency Networks | p. 80 |
Semantic Networks | p. 81 |
Similarity Networks | p. 85 |
Graph-Based Information Retrieval | |
Link Analysis for the World Wide Web | p. 91 |
The Web as a Graph | p. 91 |
PageRank | p. 92 |
Undirected Graphs | p. 95 |
Weighted Graphs | p. 95 |
Combining PageRank with Content Analysis | p. 97 |
Topic-Sensitive Link Analysis | p. 97 |
Query-Dependent Link Analysis | p. 100 |
Hyperlinked-Induced Topic Search | p. 101 |
Document Reranking with Induced Links | p. 103 |
Text Clustering | p. 106 |
Graph-Based Clustering | p. 108 |
Spectral Methods | p. 111 |
The Fiedler Method | p. 113 |
The Kernighan-Lin Method | p. 114 |
Betweenness-Based Clustering | p. 115 |
Min-Cut Clustering | p. 117 |
Text Clustering Using Random Walks | p. 119 |
Graph-Based Natural Language Processing | |
Semantics | p. 123 |
Semantic Classes | p. 123 |
Synonym Detection | p. 125 |
Semantic Distance | p. 126 |
Textual Entailment | p. 129 |
Word-Sense Disambiguation | p. 131 |
Name Disambiguation | p. 134 |
Sentiment and Subjectivity | p. 135 |
Syntax | p. 140 |
Part-of-Speech Tagging | p. 140 |
Dependency Parsing | p. 141 |
Prepositional-Phrase Attachment | p. 144 |
Co-Reference Resolution | p. 146 |
Applications | p. 149 |
Summarization | p. 149 |
Semi-supervised Passage Retrieval | p. 150 |
Keyword Extraction | p. 154 |
Topic Identification | p. 156 |
Topic Segmentation | p. 161 |
Discourse | p. 162 |
Machine Translation | p. 165 |
Cross-Language Information Retrieval | p. 166 |
Information Extraction | p. 169 |
Question Answering | p. 171 |
Term Weighting | p. 174 |
Bibliography | p. 179 |
Index | p. 191 |
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