Given an iterative algorithm that computes the eigenvector centrality for every node.The algorithm converges when the centrality values do not change significantly after two

consecutive iterations.

At iteration

$0$

Alice initialises the nodes with the same centrality values:v$0=$v$1=$v$2=$v$3=$v$4=$v$5=$v$6=$v$7=$v$8=$v$9=0\mathrm{.}5$

and Bob initialises the nodes with the different values: v$0=3,$v$1=5,$v$2=4,$v$3=4,$v$4=3,$v$5=5,$v$6=4,$v$7=1,$v$8=3,$v$9=2$

Do they achieve the same ranking of nodes in terms of centrality values after the

algorithm converges?