$1.$ Considering the social network in Figure $1,$

a$.$ find the actor$($s$)$ with the highest degree centrality

b$.$ find the actor$($s$)$ with the highest closeness centrality

c$.$ find the actor$($s$)$ with the highest betweenness centrality

d$.$ Does the actor$($s$)$ with the highest degree centrality also have the highest betweenness centrality? If not, what do these two centrality measures tell you about the prominence of these actors?

e$.$ If the ties are the email exchange relationships between actors, which centrality measure would you pick to identify the important actor$($s$)?$ppcdkvmdjgormjd