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Figure 2.1: Undirected and Directed Graph The directed graph model in Figure 2.1 can be written as: V (G) ={A, B, C, D, E, F } E(G) ={(A, B), (A, C), (A, D), (B, A), (B, D), (C, A), (C, D), (C,E),(D,B),(D,C),(D,E),(E,C),(E,F),(F,D)} (II.2) Since the edges are directed in this graph, the edges such as (A, B) and (B, A) are distinct and separate. Graphs have been used in many fields and for many purposes, from modeling atomic structures to modeling traffic networks. They have also been useful in computer science, and are an effective method of mod- eling the structure of the Internet network. 2.1.1 Notation The notation and mathematics we will use in this paper are explained here. All matrices are n × n, and vectors are n × 1, and all matrix entries are real numbers. The transpose of a vector v is the 1 × n vector vT . The vector e is a 3PDF Image | MATHEMATICS BEHIND GOOGLE PAGERANK ALGORITHM
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