LinkRankModMatrix: LinkRank Modularity Matrix

In leb-fmvz-usp/epinemo: An R Package for EPIdemiological NEtwork MOdels

LinkRank Modularity Matrix

Description

Generates a matrix with contributions to LinkRank Modularity, according to Kim et al. [1].

Usage

LinkRankModMatrix(L, pr)

Arguments

L	LinkRank Matrix. Output of LinkRank function
pr	PageRank vector. Output of pageRank function

Details

This function generates a matrix with contributions to the LinkRank Modularity. A more detailed description can be found in [1].

Value

LinkRank Modularity Matrix, where the element [i,j] is the contribution to LinkRank Modularity if nodes i and j are assigned to the same community

References

[1] Kim Y, Son SW, Jeong H (2010). "Finding Communities in Directed Networks." Physical Review E 81, 016103. doi: 10.1103/PhysRevE.81.016103

Examples

# Generate an arbitrary 100 by 100 adjacency matrix with zeros and ones
# Remove loops
A <- matrix(rbinom(100 * 100, 1, 0.2), ncol = 100, nrow = 100)
diag(A) <- 0

# Calculate Google Matrix
G <- GoogleMatrix(A)

# Calculate PageRank vector
pr <- pageRank(A)

# Calculate LinkRank Matrix
L <- LinkRank(G,pr)

# Generate LinkRank Modularity Matrix
LinkRankModMatrix(L,pr)

leb-fmvz-usp/epinemo documentation built on Nov. 27, 2022, 10:58 p.m.