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Table 1 Notations and descriptions

From: Optimized relativity search: node reduction in personalized page rank estimation for large graphs

Notation

Description

N

Number of nodes in the graph

K

Number of nodes after reduction

M

Number of iteration for a certain node

V, E

Presentation of nodes and edge

{w, u}, U

Designated node, Set of u’s

α, (1 − α)

Transition, Teleportation probability

r, P′

Probability, contribution vector

q

Stochastic matrix

d in , d out

Incoming and outgoing edges

A, D, C

Adjacency, diagonal, and covariance matrices, respectively

δ

Given threshold

Ñ”

Error parameter

t

Iteration number

x

Estimated number for random walk

R

Reduced space matrix

C

Data matrix