diff --git a/.ipynb_checkpoints/Growing networks-checkpoint.ipynb b/.ipynb_checkpoints/Growing networks-checkpoint.ipynb index 583105c..db78990 100644 --- a/.ipynb_checkpoints/Growing networks-checkpoint.ipynb +++ b/.ipynb_checkpoints/Growing networks-checkpoint.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:12971f43b6979e1dd8f8b0b168a799ddd09c4f4b99f2e56bfb0050e52dbbcc0b" + "signature": "sha256:f87e8922f6540596a32443d0b7842c1db89b28841872f95e1345250e99ca2b1e" }, "nbformat": 3, "nbformat_minor": 0, @@ -36,24 +36,14 @@ "cell_type": "code", "collapsed": false, "input": [ - "%pylab inline\n", - "\n", "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ], "language": "python", "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - } - ], - "prompt_number": 20 + "outputs": [], + "prompt_number": 1 }, { "cell_type": "code", @@ -64,7 +54,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 21 + "prompt_number": 2 }, { "cell_type": "code", @@ -76,17 +66,8 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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ZlJmZWWrJyMigzMxM2r59O2k0GrKwsKDQ0FDas2cPPbx1izpV41xKdCKit1++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IvFEDEMDFwutOTQhXXjchEXFwepVAo+n49+/frh9u3buHXrFsLCwjB27Fi2deT3339HXFwcLBYL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- "text": [ - "" - ] - } - ], - "prompt_number": 22 + "outputs": [], + "prompt_number": 3 }, { "cell_type": "code", @@ -101,15 +82,17 @@ "metadata": {}, "outputs": [ { - "ename": "SyntaxError", - "evalue": "invalid syntax (, line 1)", - "output_type": "pyerr", - "traceback": [ - "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m1\u001b[0m\n\u001b[0;31m print \"avg. clustering:\",np.mean(nx.clustering(G).values())\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" + "output_type": "stream", + "stream": "stdout", + "text": [ + "avg. clustering: 0.195603255745\n", + "avg. deg. centrality: 0.0959595959596\n", + "diameter: 4\n", + "avg. shortest path length: 2.21292929293\n" ] } ], - "prompt_number": 23 + "prompt_number": 4 }, { "cell_type": "markdown", @@ -304,7 +287,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 29 + "prompt_number": 5 }, { "cell_type": "code", @@ -320,18 +303,47 @@ "output_type": "stream", "stream": "stdout", "text": [ - "globale efficiency: 0.497424242424\n", - "average local efficiency: 0.323795435455\n" + "globale efficiency: 0.496666666667\n", + "average local efficiency: 0.328854003039\n" ] } ], - "prompt_number": 36 + "prompt_number": 6 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "le=local_efficiency(G)\n", + "nx.draw(G,pos,node_color=[value for key,value in le.iteritems()],cmap = plt.cm.Blues)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ - "le=local_efficiency(G)" + "import mayavi.mlab as mlab\n", + "pos=nx.spring_layout(G,dim=3)\n", + "xyz=np.array([pos[v] for v in sorted(G)])\n", + "colors=[value for key,value in le.iteritems()]\n", + "\n", + "mlab.figure(1, bgcolor=(0, 0, 0))\n", + "mlab.clf()\n", + "pts = mlab.points3d(xyz[:,0], xyz[:,1], xyz[:,2],\n", + " colors,\n", + " scale_factor=0.05,\n", + " scale_mode='none',\n", + " colormap='Blues',\n", + " resolution=20)\n", + "\n", + "pts.mlab_source.dataset.lines = np.array(G.edges())\n", + "tube = mlab.pipeline.tube(pts, tube_radius=0.001)\n", + "mlab.pipeline.surface(tube, color=(0.8, 0.8, 0.8))\n", + "#mlab.savefig('mayavi2_spring.png')" ], "language": "python", "metadata": {}, @@ -339,13 +351,13 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 40, + "prompt_number": 34, "text": [ - "0.20833333333333334" + "" ] } ], - "prompt_number": 40 + "prompt_number": 34 }, { "cell_type": "code", diff --git a/Growing networks.ipynb b/Growing networks.ipynb index 583105c..db78990 100644 --- a/Growing networks.ipynb +++ b/Growing networks.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:12971f43b6979e1dd8f8b0b168a799ddd09c4f4b99f2e56bfb0050e52dbbcc0b" + "signature": "sha256:f87e8922f6540596a32443d0b7842c1db89b28841872f95e1345250e99ca2b1e" }, "nbformat": 3, "nbformat_minor": 0, @@ -36,24 +36,14 @@ "cell_type": "code", "collapsed": false, "input": [ - "%pylab inline\n", - "\n", "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ], "language": "python", "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - } - ], - "prompt_number": 20 + "outputs": [], + "prompt_number": 1 }, { "cell_type": "code", @@ -64,7 +54,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 21 + "prompt_number": 2 }, { "cell_type": "code", @@ -76,17 +66,8 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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ZlJmZWWrJyMigzMxM2r59O2k0GrKwsKDQ0FDas2cPPbx1izpV41xKdCKit1++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IvFEDEMDFwutOTQhXXjchEXFwepVAo+n49+/frh9u3buHXrFsLCwjB27Fi2deT3339HXFwcLBYL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- "text": [ - "" - ] - } - ], - "prompt_number": 22 + "outputs": [], + "prompt_number": 3 }, { "cell_type": "code", @@ -101,15 +82,17 @@ "metadata": {}, "outputs": [ { - "ename": "SyntaxError", - "evalue": "invalid syntax (, line 1)", - "output_type": "pyerr", - "traceback": [ - "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m1\u001b[0m\n\u001b[0;31m print \"avg. clustering:\",np.mean(nx.clustering(G).values())\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" + "output_type": "stream", + "stream": "stdout", + "text": [ + "avg. clustering: 0.195603255745\n", + "avg. deg. centrality: 0.0959595959596\n", + "diameter: 4\n", + "avg. shortest path length: 2.21292929293\n" ] } ], - "prompt_number": 23 + "prompt_number": 4 }, { "cell_type": "markdown", @@ -304,7 +287,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 29 + "prompt_number": 5 }, { "cell_type": "code", @@ -320,18 +303,47 @@ "output_type": "stream", "stream": "stdout", "text": [ - "globale efficiency: 0.497424242424\n", - "average local efficiency: 0.323795435455\n" + "globale efficiency: 0.496666666667\n", + "average local efficiency: 0.328854003039\n" ] } ], - "prompt_number": 36 + "prompt_number": 6 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "le=local_efficiency(G)\n", + "nx.draw(G,pos,node_color=[value for key,value in le.iteritems()],cmap = plt.cm.Blues)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ - "le=local_efficiency(G)" + "import mayavi.mlab as mlab\n", + "pos=nx.spring_layout(G,dim=3)\n", + "xyz=np.array([pos[v] for v in sorted(G)])\n", + "colors=[value for key,value in le.iteritems()]\n", + "\n", + "mlab.figure(1, bgcolor=(0, 0, 0))\n", + "mlab.clf()\n", + "pts = mlab.points3d(xyz[:,0], xyz[:,1], xyz[:,2],\n", + " colors,\n", + " scale_factor=0.05,\n", + " scale_mode='none',\n", + " colormap='Blues',\n", + " resolution=20)\n", + "\n", + "pts.mlab_source.dataset.lines = np.array(G.edges())\n", + "tube = mlab.pipeline.tube(pts, tube_radius=0.001)\n", + "mlab.pipeline.surface(tube, color=(0.8, 0.8, 0.8))\n", + "#mlab.savefig('mayavi2_spring.png')" ], "language": "python", "metadata": {}, @@ -339,13 +351,13 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 40, + "prompt_number": 34, "text": [ - "0.20833333333333334" + "" ] } ], - "prompt_number": 40 + "prompt_number": 34 }, { "cell_type": "code",