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Compose.CirclePrimitive{Tuple{Measures.Measure,Measures.Measure},Measures.Measure}((0.017709839787027004cx, -1.0cy), 0.0316227766016838w), Compose.CirclePrimitive{Tuple{Measures.Measure,Measures.Measure},Measures.Measure}((-0.16350194168724463cx, 1.0cy), 0.0316227766016838w), Compose.CirclePrimitive{Tuple{Measures.Measure,Measures.Measure},Measures.Measure}((0.7405090361143143cx, -0.7785101500435854cy), 0.0316227766016838w), Compose.CirclePrimitive{Tuple{Measures.Measure,Measures.Measure},Measures.Measure}((-1.0cx, -0.12646991284528986cy), 0.0316227766016838w), Compose.CirclePrimitive{Tuple{Measures.Measure,Measures.Measure},Measures.Measure}((-0.6670641309153033cx, -0.8199253411549895cy), 0.0316227766016838w)], Symbol(\"\"))]), List([Compose.Property{Compose.LineWidthPrimitive}(Compose.LineWidthPrimitive[Compose.LineWidthPrimitive(0.0mm)]), Compose.Property{Compose.StrokePrimitive}(Compose.StrokePrimitive[Compose.StrokePrimitive(RGBA{Float64}(0.0,0.0,0.0,0.0))]), Compose.Property{Compose.FillPrimitive}(Compose.FillPrimitive[Compose.FillPrimitive(RGBA{Float64}(0.25098039215686274,0.8784313725490196,0.8156862745098039,1.0))])]), 0, false, false, false, false, nothing, nothing, 0.0, Symbol(\"\")), Compose.Context(BBox{l,t,r,b,w,h = 0.0w,0.0h, 1.0w,1.0h, 1.0w,1.0h}, nothing, nothing, nothing, nothing, List([]), List([]), List([Compose.Property{Compose.FontSizePrimitive}(Compose.FontSizePrimitive[Compose.FontSizePrimitive(4.0mm)]), Compose.Property{Compose.StrokePrimitive}(Compose.StrokePrimitive[Compose.StrokePrimitive(RGBA{Float64}(0.0,0.0,0.0,0.0))]), Compose.Property{Compose.FillPrimitive}(Compose.FillPrimitive[Compose.FillPrimitive(RGBA{Float64}(0.0,0.0,0.0,1.0))])]), 0, false, false, false, false, nothing, nothing, 0.0, Symbol(\"\"))]), List([]), List([]), 0, false, false, false, false, nothing, nothing, 0.0, Symbol(\"\"))" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function complete_random_graph(n=10)\n", " g = SimpleWeightedGraph(n)\n", " for i in 1:n\n", " for j in 1:n\n", " if i!=j\n", " add_edge!(g,i,j,rand(Exponential(0.2)))\n", " end\n", " end\n", " end\n", " g\n", "end\n", "gplot(Graph(adjacency_matrix(complete_random_graph(10))))" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[32mProgress: 100%|█████████████████████████████████████████| Time: 0:00:47\u001b[39m\n" ] } ], "source": [ "n=20\n", "t=20\n", "ensemble = []\n", "@showprogress for i in 1:200\n", " p=[]\n", " for alpha in 0:(10/100):10\n", " smc = [] # maximum eigenvalues\n", " for k in 1:t\n", " g = complete_random_graph(n)\n", " push!(smc, maximum(eigvals(Matrix(weights(g)))))\n", " end\n", " push!(p, count(λmax -> λmax\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "0\n", "\n", "\n", "25\n", "\n", "\n", "50\n", "\n", "\n", "75\n", "\n", "\n", "100\n", "\n", "\n", "0.00\n", "\n", "\n", "0.25\n", "\n", "\n", "0.50\n", "\n", "\n", "0.75\n", "\n", "\n", "1.00\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(ensemble, alpha=0.1, leg=:none)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[32mProgress: 100%|█████████████████████████████████████████| Time: 0:00:35\u001b[39m\n" ] } ], "source": [ "n=20\n", "t=20\n", "ensemble = []\n", "@showprogress for i in 1:200\n", " p=[]\n", " for alpha in 0:0.1:10\n", " smc = [] # maximum eigenvalues\n", " for k in 1:t\n", " A = randn(n,n)\n", " #A = (A'+A)/2\n", " #for i in 1:n A[i,i]=0 end\n", " push!(smc, maximum(real(eigvals(A))))\n", " end\n", " push!(p, count(λmax -> λmax\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "0\n", "\n", "\n", "25\n", "\n", "\n", "50\n", "\n", "\n", "75\n", "\n", "\n", "100\n", "\n", "\n", "0.00\n", "\n", "\n", "0.25\n", "\n", "\n", "0.50\n", "\n", "\n", "0.75\n", "\n", "\n", "1.00\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", 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leg=:none)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Julia 1.2.0", "language": "julia", "name": "julia-1.2" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.2.0" } }, "nbformat": 4, "nbformat_minor": 2 }