Web Science/Part2: Emerging Web Properties/Modeling the Web as a graph

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Modeling the Web as a graph

Reviewing terms from graph theory

Be familiar with a set theoretic way of denoting a graph
Know at least 4 different types of graphs
Have practiced your abilities in reading and writing mathematical formulas

The standard web graph model

Be able to model web pages as a graph

Know that the authorship graph is bipartite

Know what kind of graph the graph of web pages is

(as always) be aware of the fact that modeling is done by making choices

Descriptive statistics of the web graph

Know terms like Size and (unique) volume

Be able to count the in and out degree of web pages

Have an idea what kind of law (in & out) degree distributions follow

Know that degree is not distributed in a fair way

Know that the Gini coefficient can be used to measure fairness

Topology of the web graph

Understand the notion of a path in a (directed) graph

Know that shortest paths between nodes need not be unique

Understand the notion of a strongly connected component

Know about the diameter of a graph

Be aware of the bow tie structure of the Web

Modelling-graphs-with-linear-algebra

Be able to read and build an adjacency matrix of a graph

Know some basic matrix vector multiplications to generate some statistics out of the adjacency matrix

Understand what is encoded in the components of the k-th power of the Adjacency matrix of a graph

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