getFactions: getFactions function
In mFLICA: Leadership-Inference Framework for Multivariate Time Series

Description Usage Arguments Value Examples

getFactions is a support function for inferring faction leaders and their members as well as a faction size ratio of each faction. Leaders are nodes that have zero outgoing degree. Members of leader A's faction are nodes that have some directed path to A in a following network.

1	getFactions(adjMat)

adjMat

is an adjacency matrix of a following network.

This function returns a list of leader IDs, a list of faction members, and network densities of factions.

`leaders`	is a list of faction leader IDs
`factionMembers`	is a list of members of factions where `factionMembers[[i]]` is a list of faction members of a leader `leaders[i]`'s faction.
`factionSizeRatio`	is a vector of faction size ratio of each faction. `factionSizeRatio[i]` is a number of edges within a leader `leaders[i]`'s faction divided by N choose 2 where N is a number of all nodes.

# Given an example of adjacency matrix
A<-matrix(FALSE,5,5)
A[2,1]<-TRUE
A[c(3,4),2]<-TRUE
A[5,3]<-TRUE
# Get faction leaders and their members as well as a network density of each faction.

out<-getFactions(adjMat=A)