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

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Markov Matrix of a Digraph Markov Matrix • Given a digraph G with n vertices, its Markov matrix is the n x n matrix M whose entry <strong>in</strong> row i and column j is given by mij = { 1/d i, if (i, j) is an arc of G, and di is the outdegree of i 0, otherwise
Markov Matrix of a Digraph • Example 2 3 4 • Markov matrix of the graph above is 1 ( ) 0 0 1 0 1 0 0 0 0 0 0 0 1/2 0 1/2 0
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 and 22: Query Engine • When given input k
Page 23 and 24: PageRank • Assigns a rank to ever
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: PageRank: An Improvement • The pr
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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