Wolfram
Mathematica
8의 신기능: 그래프 및 네트워크 분석
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응용 분야
연결성이 강한 요소 강조 하기
1보다 큰 연결성이 강한 요소 강조에 대해 살펴봅니다.
In[1]:=
X
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DynamicLocation["VertexID$56", Automatic, Center], DynamicLocation["VertexID$46", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$56", Automatic, Center], DynamicLocation["VertexID$55", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$57", Automatic, Center], DynamicLocation["VertexID$67", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$57", Automatic, Center], DynamicLocation["VertexID$58", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$57", Automatic, Center], DynamicLocation["VertexID$47", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$57", Automatic, Center], DynamicLocation["VertexID$56", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$58", Automatic, Center], DynamicLocation["VertexID$48", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$59", Automatic, Center], DynamicLocation["VertexID$69", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$59", Automatic, Center], DynamicLocation["VertexID$58", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$60", Automatic, Center], DynamicLocation["VertexID$50", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$60", Automatic, Center], DynamicLocation["VertexID$59", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$61", Automatic, Center], DynamicLocation["VertexID$71", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$61", Automatic, Center], DynamicLocation["VertexID$51", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$62", Automatic, Center], DynamicLocation["VertexID$63", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$62", Automatic, Center], DynamicLocation["VertexID$52", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$62", Automatic, Center], DynamicLocation["VertexID$61", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$63", Automatic, Center], DynamicLocation["VertexID$73", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$63", Automatic, Center], DynamicLocation["VertexID$64", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$64", Automatic, Center], DynamicLocation["VertexID$65", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$64", Automatic, Center], DynamicLocation["VertexID$54", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$65", Automatic, Center], DynamicLocation["VertexID$75", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$66", Automatic, Center], DynamicLocation["VertexID$67", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$66", Automatic, Center], DynamicLocation["VertexID$76", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$66", Automatic, Center], DynamicLocation["VertexID$65", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$67", Automatic, Center], DynamicLocation["VertexID$68", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$68", Automatic, Center], DynamicLocation["VertexID$78", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$68", Automatic, Center], DynamicLocation["VertexID$58", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$69", Automatic, Center], DynamicLocation["VertexID$70", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$69", Automatic, Center], DynamicLocation["VertexID$68", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$70", Automatic, Center], DynamicLocation["VertexID$80", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$70", Automatic, Center], DynamicLocation["VertexID$60", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$72", Automatic, Center], DynamicLocation["VertexID$62", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$72", Automatic, Center], DynamicLocation["VertexID$71", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$73", Automatic, Center], DynamicLocation["VertexID$83", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$73", Automatic, Center], DynamicLocation["VertexID$72", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$74", Automatic, Center], DynamicLocation["VertexID$75", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$74", Automatic, Center], DynamicLocation["VertexID$84", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$74", Automatic, Center], DynamicLocation["VertexID$64", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$74", Automatic, Center], DynamicLocation["VertexID$73", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$75", Automatic, Center], DynamicLocation["VertexID$76", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$75", Automatic, Center], DynamicLocation["VertexID$85", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$76", Automatic, Center], DynamicLocation["VertexID$86", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$76", Automatic, Center], DynamicLocation["VertexID$77", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$77", Automatic, Center], DynamicLocation["VertexID$78", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$77", Automatic, Center], DynamicLocation["VertexID$87", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$77", Automatic, Center], DynamicLocation["VertexID$67", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$79", Automatic, Center], DynamicLocation["VertexID$80", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$79", Automatic, Center], DynamicLocation["VertexID$69", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$79", Automatic, Center], DynamicLocation["VertexID$78", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$80", Automatic, Center], DynamicLocation["VertexID$90", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$81", Automatic, Center], DynamicLocation["VertexID$71", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$82", Automatic, Center], DynamicLocation["VertexID$72", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$82", Automatic, Center], DynamicLocation["VertexID$81", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$83", Automatic, Center], DynamicLocation["VertexID$82", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$84", Automatic, Center], DynamicLocation["VertexID$83", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$85", Automatic, Center], DynamicLocation["VertexID$84", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$86", Automatic, Center], DynamicLocation["VertexID$87", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$86", Automatic, Center], DynamicLocation["VertexID$85", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$87", Automatic, Center], DynamicLocation["VertexID$97", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$88", Automatic, Center], DynamicLocation["VertexID$78", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$88", Automatic, Center], DynamicLocation["VertexID$87", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$89", Automatic, Center], DynamicLocation["VertexID$79", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$89", Automatic, Center], DynamicLocation["VertexID$88", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$90", Automatic, Center], 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False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$97", Automatic, Center], DynamicLocation["VertexID$96", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$98", Automatic, Center], DynamicLocation["VertexID$88", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$98", Automatic, Center], DynamicLocation["VertexID$97", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$99", Automatic, Center], DynamicLocation["VertexID$100", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$99", Automatic, Center], DynamicLocation["VertexID$89", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$99", Automatic, Center], DynamicLocation["VertexID$98", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False], StyleBox[{ ArrowBox[{ DynamicLocation["VertexID$100", Automatic, Center], DynamicLocation["VertexID$90", Automatic, Center]}]}, Arrowheads[Medium], StripOnInput -> False]}}]}, DynamicBox[GraphComputation`NetworkGraphicsBox[ 1, Typeset`graph, Typeset`boxes], { CachedValue :> Typeset`boxes, SingleEvaluation -> True, SynchronousUpdating -> False, TrackedSymbols :> {}}, ImageSizeCache->{{3.7200000000000024`, 232.28000000000003`}, {-117.4688, 111.09120000000003`}}]]], DefaultBaseStyle->{ "NetworkGraphics", FrontEnd`GraphicsHighlightColor -> Hue[0.8, 1., 0.6]}, FrameTicks->None, ImageSize->{237., Automatic}]\);
In[2]:=
X
comp = Select[ConnectedComponents[g], Length[#] > 1 &];
In[3]:=
X
HighlightGraph[g, Table[Style[comp[[i]], ColorData["Rainbow"][(i - 1)/Length[comp]]], {i, Length[comp]}], ImageSize -> 500]
Out[3]=
