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8: Graph & Network Analysis
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Study Properties of a Directed Graph
Mathematica
8 provides a broad range of functions for computing properties of directed graphs.
In[1]:=
X
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In[2]:=
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text[s_] := Style[s, 11, FontFamily -> "Verdana"]
In[3]:=
X
Row[{g, Grid[{ {text["Vertex count: "], ToString[VertexCount[g]]}, {text["Edge count: "], ToString[EdgeCount[g]]}, {text["Directed: "], ToString[DirectedGraphQ[g]]}, {text["Simple: "], ToString[SimpleGraphQ[g]]}, {text["Weighted: "], ToString[WeightedGraphQ[g]]}, {text["Acyclic: "], ToString[AcyclicGraphQ[g]]}, {text["Weakly connected: "], ToString[ConnectedGraphQ[UndirectedGraph[g]]]}, {text["Strongly connected: "], ToString[ConnectedGraphQ[g]]}, {text["Number of strong components: "], ToString@Length[ConnectedComponents[g]]}, {text["Number of weak components: "], ToString@Length[ConnectedComponents[UndirectedGraph@g]]}, {text["Bipartite: "], ToString[BipartiteGraphQ[g]]}, {text["Eulerian: "], ToString[EulerianGraphQ[g]]}, {text["Clique number: "], ToString[Length@FindClique[g][[1]]]}, {text["Matching number: "], ToString[Length@FindIndependentEdgeSet[g]]}, {text["Edge cover number: "], ToString[Length@FindEdgeCover[g]]}, {text["Size of maximum independent set: "], ToString[Length@FindIndependentVertexSet[g]]}, {text["Vertex cover number: "], ToString[Length@FindVertexCover[g]]}}, Alignment -> Left]}, Spacer[20]]
Out[3]=