Lec5 Pagerank

Distributed Computing Seminar Lecture 5: Graph Algorithms & PageRank Christophe Bisciglia, Aaron Kimball, & Sierra Michels-Slettvet Summer 2007 Except as otherwise noted, the content of this presentation is © 2007 Google Inc. and licensed under the Creative Commons Attribution 2.5 License.

Outline ,[object Object],[object Object],[object Object],[object Object]

Motivating Concepts ,[object Object],[object Object],[object Object],[object Object]

Breadth-First Search ,[object Object],[object Object]

Breadth-First Search & MapReduce ,[object Object],[object Object]

Graph Representations ,[object Object]

Direct References ,[object Object],[object Object],[object Object],[object Object],class GraphNode { Object data; Vector<GraphNode> out_edges; GraphNode iter_next; }

Adjacency Matrices ,[object Object],[object Object],0 1 0 1 4 0 0 1 0 3 1 1 0 1 2 1 0 1 0 1 4 3 2 1

Adjacency Matrices: Sparse Representation ,[object Object],[object Object],[object Object]

Sparse Matrix Representation ,[object Object],[object Object],[object Object],[object Object]

Finding the Shortest Path ,[object Object],[object Object],[object Object],This is called the single-source shortest path problem. (a.k.a. SSSP)

Finding the Shortest Path: Intuition ,[object Object],[object Object],[object Object],[object Object],[object Object]

From Intuition to Algorithm ,[object Object],[object Object],[object Object],[object Object],[object Object]

What This Gives Us ,[object Object],[object Object],[object Object],[object Object]

Blow-up and Termination ,[object Object],[object Object],[object Object],[object Object],[object Object]

Adding weights ,[object Object],[object Object],[object Object],[object Object]

Comparison to Dijkstra ,[object Object],[object Object],[object Object]

PageRank: Random Walks Over The Web ,[object Object],[object Object],[object Object]

PageRank: Formula ,[object Object],[object Object],[object Object],[object Object],[object Object]

PageRank: Intuition ,[object Object],[object Object],[object Object],[object Object]

PageRank: Issues ,[object Object],[object Object],[object Object]

PageRank: First Implementation ,[object Object],[object Object],[object Object],[object Object]

Distribution of the Algorithm ,[object Object],[object Object],[object Object],[object Object]

Phase 1: Parse HTML ,[object Object],[object Object],[object Object],[object Object]

Phase 2: PageRank Distribution ,[object Object],[object Object],[object Object],[object Object]

Finishing up... ,[object Object],[object Object],[object Object]

Conclusions ,[object Object],[object Object],[object Object],[object Object]

Lec5 Pagerank

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