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The {} forces a *stable* sort because otherwise Mathematica sorts also on triangle count and other things. *) *) + + +gdata=GatherBy[gsraw,{#[[1,2]]&,#[[1,1]]&}]; +(* Data format: *) +(* gdata[[ tau index, n index, run index , datatype index ]] *) +(* datatype index: +1: {n,tau} +2: avgtris +3: dsp +*) +nlabels=Map["n = "<>ToString[#]&,gdata[[1,All,1,1,1]]]; +taulabels=Map["tau = "<>ToString[#]&,gdata[[All,1,1,1,2]]]; + + +(* ::Section:: *) +(*Plot triangle counts vs dsp*) + + +(* ::Subsection:: *) +(*Compute dsp from ds*) + + +getProperty[ds1_]:=Module[{ds,n=Length[ds1],tmp=ConstantArray[0,{Length[ds1],Length[ds1]}]}, +ds=N[ds1/Sqrt[N[Total[ds1]]]]; (* scale degrees by 1/Sqrt[total] *) +(* The next table contains unneeded entries, but its faster to have a square table for the sum *) +tmp=Table[1.-Exp[-ds[[i]]ds[[j]]],{i,1,n},{j,1,n}]; +Sum[tmp[[i,j]]*tmp[[j,k]]*tmp[[i,k]],{i,3,n},{j,2,i-1},{k,1,j-1}] (* somehow i>j>k is about 60x faster than doing i{0,0}, +Frame->True,FrameLabel->{"degree-sequence-property","average number of triangles"}, +AspectRatio->Automatic, +ImageSize->Automatic, +PlotLabel->"n = "<>ToString[#[[1,1,1]]]<>" , \[Tau] = "<>ToString[#[[1,1,2]]], +PlotStyle->Black +],Plot[x,{x,1,10000}]] +&,gdata,{2}] + + +plotgrid=GraphicsRow[{GraphicsColumn[allPlots[[{1,2},1]]],allPlots[[3,1]]},Spacings->0,ImageSize->600] + + +Export[NotebookDirectory[]<>"plots/dsp_correlations.pdf",plotgrid]