cas.att.eigen <- function(g){
#numero de repetições
n <- length(V(g))
g2 <- g
#registo dos resultados
numberofvertices<-integer(n-1)
clustersizes<-integer(n-1)
cohesion<-integer(n-1)
averagepath<-integer(n-1)
adhesion<-integer(n-1)
edgedensity <- integer(n-1)
transitivity <- integer(n-1)
radius<- integer(n-1)
density<- integer(n-1)
centralization<-integer(n-1)
strength <- integer(n-1)
vertex <- integer(n-1)
components <- integer(n-1)
#remoção dos vértices
for(i in 1:(n-1)){
vertex[i] <- V(g2)$names[which.max(unlist(igraph::eigen_centrality(g2)$vector))] #cálculo e seleção do vértice a remover + registo do nome do vértice
strength[i] <- max(unlist(igraph::eigen_centrality(g2)$vector)) #registo do valor máximo da força
#cálculo e registo das propriedades das redes
#(verificar: algumas parecem ter sempre 0 | edgedensity parece ser a mesma coisa que graph.density)
numberofvertices[i]<-igraph::gorder(g2)
clustersizes[i]<-max(igraph::clusters(g2)$csize)
cohesion[i]<-igraph::cohesion(g2)
averagepath[i]<-igraph::average.path.length(g2)
adhesion[i]<- igraph::graph.adhesion(g2)
edgedensity[i] <-igraph::edge_density(g2)
transitivity[i]<- igraph::transitivity(g2, type= "global")
radius[i]<-igraph::radius(g2)
density[i]<- igraph::graph.density(g2)
centralization[i]<-igraph::centr_degree(g2)$centralization
components[i] <- igraph::components(g2)$no
g2 <- igraph::delete.vertices(g2, v=which.max(igraph::eigen_centrality(g2)$vector)) #cálculo e seleção do vértice a remover
#gráfico após cada remoção (layout não está fixo)
#plot(g2, vertex.size=20, vertex.color="darkolivegreen3",
# vertex.label=V(g2)$names, vertex.label.cex=0.8, edge.width=2)
}
#tabela com os resultados do ataque
df<-hellno::as.data.frame(cbind(c(vertex, NA), c(strength, NA), c(numberofvertices, NA), c(clustersizes, NA), c(cohesion, NA), c(averagepath, NA), c(adhesion, NA), c(edgedensity, NA), c(transitivity, NA), c(radius, NA), c(density, NA), c(centralization, NA), c(components, NA)), stringAsFactors=F)
names(df)<-c( "cas.att.eigen.vertex", "cas.att.eigen.value", "cas.att.eigen.number.of.vertices", "cas.att.eigen.maxcsize", "cas.att.eigen.cohesion", "cas.att.eigen.averagepath", "cas.att.eigen.adhesion", "cas.att.eigen.edgedensity", "cas.att.eigen.transitivity", "cas.att.eigen.radius", "cas.att.eigen.density", "cas.att.eigen.centralization", "cas.att.eigen.components")
return(df)
}
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