Link Analysis (Link Analysis)

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Description

Unlike "flat" document collections, the World Wide Web is hypertext and provides considerable auxiliary information on top of the text of the web pages, such as link structure and link text. With link analysis, we take advantage of the link structure of the Web to produce a global "importance" ranking of every web page that helps search engines and users quickly make sense of the vast heterogeneity of the World Wide Web.

Related Problems

Related: InDegree Analysis

Parameters

$n$: number of pages

$m$: number of hyperlinks

$z$: # of topics/categories

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
The PAGERANK Algorithm 1998 $O(m n )$ $O(n)$ Exact Deterministic Time
The (Hyperlink-Induced Topic Search) HITS Algorithm 1998 $O(n^{2} k)$ $O(n)$ Exact Deterministic Time
Kleinberg 1998 $O(m^{2} n )$ Exact Deterministic Time
The (Stochastic Approach for Link Structure Analysis) SALSA Algorithm 2000 $O(m^{2} n )$ $O(n)$? Exact Deterministic Time
Randomized HITS 2001 $O(m n\log n )$ $O(n)$ Exact Deterministic Time
PHITS Coheng Chan 2000 $O(m n )$ $O(nz)$? Exact Deterministic Time
Haveliwala 2002 $O(m n )$ $O(nz)$? Exact Deterministic Time
Jeh and Widom 2003 $O(m n )$ $O(nh)$ Exact Deterministic Time
Richardson and Domingos 2002 $O(m n )$ $O(nl)$ Exact Deterministic Time
Tomlin 2003 $O(m n )$ $O(n)$? Exact Deterministic Time
Achlioptas 2001 $O(mn )$ $O((n+l)$^{2})? Exact Deterministic Time

Time Complexity Graph

Link Analysis - Time.png