MAS 801 It's a Discreetly Discrete World Ã¢Â€Â“ Mathematics in ... - Spms

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Ranking Algorithm • Early search engines rank web pages according to the number of query keywords and/or key phrases they contain • This is susceptible to keyword spamming • A bookstore who wants to attract people to its website will just create one that contains lots of the word “book” • Modern search engines analyzes the links in W to rank a page • Most famous of this is the PageRank algorithm of Google, invented by Larry Page and Sergey Brin in 1998
PageRank • Assigns a rank to every web page • Influences the order in which Google displays search results • Based on link structure of W • Does not depend on content of web pages • Does not depend on query • Higher PageRank = more visitors
Page 1 and 2: MAS 801 It’s a Discreetly Discret
Page 3 and 4: Extreme Points • The following is
Page 5 and 6: Proving Optimality: Method of Tight
Page 11 and 12: Tight Inequalities • An inequalit
Page 13 and 14: The Web Graph • Primary focus is
Page 15 and 16: How Big is the Web (Graph)
Page 17 and 18: Searching the Web • We have seen
Page 19 and 20: Crawler • Program that browses WW
Page 21: Query Engine • When given input k
Page 25 and 26: PageRank: First Try • We want to
Page 27 and 28: Adjacency Matrix of a Digraph • E
Page 29 and 30: Matrix Transpose Matrix Transpose
Page 31 and 32: Exercise 2 • Compute the importan
Page 33 and 34: PageRank: An Improvement • The pr
Page 35 and 36: Markov Matrix of a Digraph • Exam
Page 37 and 38: Exercise 3: Answer 1 2 3 4 5 6 •
Page 39 and 40: Exercise 4 • Compute the importan
Page 41 and 42: PageRank: An Improvement • The pr
Page 43 and 44: Some Linear Algebra • Given an n
Page 45 and 46: Exercise 5 • Find the eigenvalues
Page 47 and 48: Example • Find all the eigenvecto
Page 49: Further Properties of Matrices •

MAS 801 It's a Discreetly Discrete World Ã¢Â€Â“ Mathematics in ... - Spms

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