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#' Core Items
#' @description Automatically determines core, intermediary, and peripheral items in the network.
#' The entire network or within-community gradations can be determined. Based on the
#' \code{\link[NetworkToolbox]{hybrid}} centrality
#'
#' @param A An adjacency matrix of network data
#'
#' @param comm A vector or matrix corresponding to the community each node belongs to
#'
#' @param by Should the core items be defined by network or communities?
#' Defaults to \code{"network"}.
#' Set to \code{"communities"} to define core items within communities
#'
#' @return Returns a list containing:
#'
#' \item{core}{Core items for each community}
#'
#' \item{inter}{Intermediate items for each community}
#'
#' \item{peri}{Peripheral items for each community}
#'
#' @examples
#' #network
#' # Pearson's correlation only for CRAN checks
#' A <- TMFG(neoOpen, normal = FALSE)$A
#'
#' #core items by network
#' coreBYnetwork <- core.items(A, by = "network")
#'
#' #theoretical factors
#' comm <- c(rep(1,8),rep(2,8),rep(3,8),rep(4,8),rep(5,8),rep(6,8))
#'
#' #core items by communities
#' coreBYcomm <- core.items(A, comm, by = "communities")
#'
#' @author Alexander Christensen <alexpaulchristensen@gmail.com>
#'
#' @export
#Core Items----
core.items <- function (A, comm, by = c("network","communities"))
{
if(missing(comm))
{by <- "network"
}else{comm <- comm}
if(missing(by))
{by <- "communities"
}else{by <- match.arg(by)}
gradlist <- list()
hc <- hybrid(A, BC = "random")
left <- length(hc)
name <- names(hc)
if(by == "network")
{
dat <- hc
corenum <- floor(left/3)
cst <- 1:corenum
left <- left - corenum
internum <- floor(left/2)
ist <- (corenum+1):(corenum+internum)
left <- left - internum
perinum <- left
pst <- (corenum+internum+1):(corenum+internum+perinum)
ord <- dat[order(dat,decreasing=TRUE)]
gradlist$core <- ord[cst]
gradlist$inter <- ord[ist]
gradlist$peri <- ord[pst]
}else if(by == "communities")
{
uniq <- unique(comm)
if(is.numeric(uniq))
{uniq <- as.character(uniq)}
len <- length(uniq)
for(i in 1:len)
{
left <- length(which(uniq[i]==comm))
corenum <- floor(left/3)
cst <- 1:corenum
left <- left - corenum
internum <- floor(left/2)
ist <- (corenum+1):(corenum+internum)
left <- left - internum
perinum <- left
pst <- (corenum+internum+1):(corenum+internum+perinum)
items <- which(uniq[i]==comm)
#core
core <- hc[items][order(hc[items],decreasing = TRUE)][cst]
gradlist[[uniq[i]]]$core <- core
#inter
inter <- hc[items][order(hc[items],decreasing = TRUE)][ist]
gradlist[[uniq[i]]]$inter <- inter
#peri
peri <- hc[items][order(hc[items],decreasing = TRUE)][pst]
gradlist[[uniq[i]]]$peri <- peri
}
}
return(gradlist)
}
#----
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