Degree centrality in social networks

g = ExampleData[{"NetworkGraph", "FamilyGathering"}];

Part[VertexList[g], Ordering[EigenvectorCentrality[g], All, Greater]]

VertexList[ExampleData[{NetworkGraph, FamilyGathering}]]

cc = DegreeCentrality[g];
HighlightGraph[g, Table[Style[VertexList[g][[i]], ColorData["TemperatureMap"][cc[[i]] / Max[cc]]], {i, VertexCount[g]}], ImageSize -> 300]

HighlightGraph[ExampleData[{NetworkGraph, FamilyGathering}], Table[VertexList[g][[i]], {i, VertexCount[g]}], ImageSize -> 300]