Application Areas

Degree Centrality in Social Networks 

In[1]:=

X people = {"Elisabeth", "James", "Anna", "John", "Dorothy", "Linda", "Michael", "Larry", "Carol", "Nancy", "David", "Nora", "Julia", "Ben", "Oscar", "Felicia", "Arlene", "Rudy"};

In[2]:=

X relations = Join @@ Table[ UndirectedEdge @@@ Subsets[family, {2}], {family, {{"Elisabeth", "Anna"}, {"James", "Anna", "Linda", "Larry", "Nancy"}, {"John", "Dorothy", "David"}, {"Linda", "Michael", "Nora", "Julia"}, {"Larry", "Carol", "Ben", "Oscar"}, {"Nancy", "David", "Arlene"}, {"Oscar", "Felicia"}, {"Arlene", "Rudy"}}}];

In[3]:=

X g = Graph[people, relations, VertexSize -> Large, VertexLabels -> "Name", ImagePadding -> 30];

In[4]:=

X cc = DegreeCentrality[g];

In[5]:=

X HighlightGraph[g, Table[Style[VertexList[g][[i]], ColorData["SolarColors"][cc[[i]]/Max[cc]]], {i, VertexCount[g]}], ImageSize -> 500]

Out[5]=