Application Areas

Find K-Core Components

Mathematica 8 allows a graph to be hierarchically decomposed into its

-cores using KCoreComponents.

In[1]:=

g = \!\(\*

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DynamicModuleBox[{Typeset`graph = HoldComplete[

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4}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {8,

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DynamicLocation["VertexID$4", Automatic, Center]}, {

DynamicLocation["VertexID$1", Automatic, Center],

DynamicLocation["VertexID$15", Automatic, Center]}, {

DynamicLocation["VertexID$2", Automatic, Center],

DynamicLocation["VertexID$3", Automatic, Center]}, {

DynamicLocation["VertexID$2", Automatic, Center],

DynamicLocation["VertexID$4", Automatic, Center]}, {

DynamicLocation["VertexID$3", Automatic, Center],

DynamicLocation["VertexID$4", Automatic, Center]}, {

DynamicLocation["VertexID$5", Automatic, Center],

DynamicLocation["VertexID$6", Automatic, Center]}, {

DynamicLocation["VertexID$5", Automatic, Center],

DynamicLocation["VertexID$7", Automatic, Center]}, {

DynamicLocation["VertexID$5", Automatic, Center],

DynamicLocation["VertexID$8", Automatic, Center]}, {

DynamicLocation["VertexID$5", Automatic, Center],

DynamicLocation["VertexID$16", Automatic, Center]}, {

DynamicLocation["VertexID$6", Automatic, Center],

DynamicLocation["VertexID$7", Automatic, Center]}, {

DynamicLocation["VertexID$6", Automatic, Center],

DynamicLocation["VertexID$8", Automatic, Center]}, {

DynamicLocation["VertexID$7", Automatic, Center],

DynamicLocation["VertexID$8", Automatic, Center]}, {

DynamicLocation["VertexID$8", Automatic, Center],

DynamicLocation["VertexID$9", Automatic, Center]}, {

DynamicLocation["VertexID$8", Automatic, Center],

DynamicLocation["VertexID$10", Automatic, Center]}, {

DynamicLocation["VertexID$9", Automatic, Center],

DynamicLocation["VertexID$10", Automatic, Center]}, {

DynamicLocation["VertexID$10", Automatic, Center],

DynamicLocation["VertexID$11", Automatic, Center]}, {

DynamicLocation["VertexID$10", Automatic, Center],

DynamicLocation["VertexID$12", Automatic, Center]}, {

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DynamicLocation["VertexID$18", Automatic, Center]}, {

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DynamicLocation["VertexID$19", Automatic, Center]}, {

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DynamicLocation["VertexID$12", Automatic, Center]}, {

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DynamicBox[GraphComputation`NetworkGraphicsBox[

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In[2]:=

In[3]:=

In[4]:=

Out[4]=