oo. p. all events hold. The following result is our first exposure to a concentration result in random graphs, stating that the degree of a vertex is asymptotically close to its expected degree.
For example, it seems plausible that popular pages attract more new links than unpopular ones. Possible mechanisms underlying the power law degree distribution of W will be presented in Chapter 4. Generating graphs with power law degree distributions has become a hot topic for random graph theorists, leading to a growing corpus of rigorous results that will be further discussed in Chapter 4. While our focus is on properties of W, it is worthwhile noting that power laws (and several other properties of W) are indicative of choice in many other contexts.
A Course on the Web Graph by Anthony Bonato