{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# This is a Directed Acyclic Graph Tutorial\n", "This is a sample for http://blog.abyz.ir" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Importing nedded dependencies\n", "At first we import all needed dependencies" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import numpy as np\n", "import random\n", "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "from nxpd import draw\n", "from nxpd import nxpdParams\n", "import copy\n", "\n", "nxpdParams['show'] = 'ipynb'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Generating DAG\n", "This section generates the DAG" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def generateDAG(nodeNo, edgeProb):\n", " adj = np.zeros((nodeNo, nodeNo))\n", " G=nx.DiGraph()\n", " deps = dict()\n", " nodeLables = list(range(nodeNo))\n", " addedLabels = list()\n", " \n", " for i in range(nodeNo):\n", " lIdx = random.randrange(len(nodeLables))\n", " lable = nodeLables[lIdx]\n", " addedLabels.append(lable)\n", " nodeLables.remove(lable)\n", " \n", " G.add_node(str(addedLabels[i]))\n", " deps[str(addedLabels[i])] = set()\n", " for j in range(i):\n", " rnd = random.random()\n", " if rnd < edgeProb and i != j:\n", " G.add_edge(str(addedLabels[j]), str(addedLabels[i]))\n", " deps[str(addedLabels[i])].add(str(addedLabels[j]))\n", " adj[i,j]= 1\n", " return (adj, G, deps)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate and Draw the DAG\n", "In this section we just generate and draw DAG" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Rx44dydzc/Il9nT9/nnr06EGffPIJzZs376mZrl69SsOHD6fS0lKKi4tr9Lme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\nTW4OT/iXAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nodeCount = 10\n", "dependencyProbability= 0.7\n", "dag, G, deps = generateDAG(nodeCount,dependencyProbability)\n", "draw(G)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is easy to generate and draw a DAG in jupyter notebook" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }