Google's Pagerank and Beyond: The Science of Search Engine Rankings

By Amy N. Langville; Carl D. Meyer | Go to book overview

Index
k-step transition matrix, 179
a vector, 37, 38, 75, 80
A9, 142
absolute error, 104
absorbing Markov chains, 185
absorbing states, 185
accuracy, 79–80
adaptive PageRank method, 89–90
Adar, Eytan, 146
adjacency list, 77
adjacency matrix, 33, 76, 116, 132, 169
advertising, 45
aggregated chain, 197
aggregated chains, 195
aggregated transition matrix, 105
aggregated transition probability, 197
aggregation, 94–97
approximate, 102–104
exact, 104–105
exact vs. approximate, 105–107
iterative, 107–109
partition, 109–112
aggregation in Markov chains, 197
aggregation theorem, 105
Aitken extrapolation, 91
Alexa traffic ranking, 138
algebraic multiplicity, 157
algorithm
PageRank, 40
Aitken extrapolation, 92
dangling node PageRank, 82, 83
HITS, 116
iterative aggregation updating, 108
personalized PageRank power method, 49
quadratic extrapolation, 93
query-independent HITS, 124
α parameter, 37, 38, 41, 47–48
Amazon’s traffic rank, 142
anchor text, 48, 54, 201
Ando, Albert, 110
aperiodic, 36, 133
aperiodic Markov chain, 176
Application Programming Interface (API), 65, 73, 97
approximate aggregation, 102–104
arc, 201
Arrow, Kenneth, 136
asymptotic convergence rate, 165
asymptotic rate of convergence, 41, 47, 101, 119, 125
Atlas of Cyberspace, 27
authority, 29, 201
authority Markov chain, 132
authority matrix, 117, 201
authority score, 115, 201
authority vector, 201
Babbage, Charles, 75
back button, 84–86
BadRank, 141
Barabasi, Albert-Laszlo, 30
Berry, Michael, 7
bibliometrics, 32, 123
bipartite undirected graph, 131
BlockRank, 94–97, 102
blog, 55, 144–146, 201
Boldi, Paolo, 79
Boolean model, 5–6, 201
bounce back, 84–86
bowtie structure, 134
Brezinski, Claude, 92
Brin, Sergey, 25, 205
Browne, Murray, 7
Bush, Vannevar, 3, 10
Campbell, Lord John, 23
canonical form, reducible matrix, 182
censored chain, 104
censored chains, 194
censored distribution, 104, 195
censored Markov chain, 194
censorship, 146–147
Cesàro sequence, 162
Cesàro summability, stochastic matrix, 182
characteristic polynomial, 120, 156
Chebyshev extrapolation, 92
Chien, Steve, 102
cloaking, 44
clustering search results, 142–143
co-citation, 123, 201
co-reference, 123, 201
Collatz–Wielandt formula, 168, 172
complex networks, 30
compressed matrix storage, 76
condition number, 59, 71, 155
Condorcet, 136
connected components, 127, 133

-219-

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