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@Elijas
Last active April 4, 2021 10:32
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Fixed source code for "Signed Visibility Graphs of TimeSeries and their application to Brain Networks by Gunjan Soni"
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Untitled0.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyOxO4Mx/AWLFlGHG1kNt8bL",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/Elijas/24349e3e5cd2719ed7a75e911dae47fc/untitled0.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "tQJKJRxoXsCG"
},
"source": [
"# Program A.1 Program for Natural Signed Visibility Graphs"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 319
},
"id": "RHCpdFrkGavr",
"outputId": "e03ef853-8185-4282-a17a-aaf9301ca06a"
},
"source": [
"import networkx as nx\n",
"import matplotlib.pyplot as plt\n",
"y = [25.82, 25.35, 24.29, 24.05, 24.89, 25.35, 25.23, 25.06, 27.13,\n",
"27.36, 26.65, 27.13, 27.49, 27.08, 27.51, 27.54, 26.21, 18.24,\n",
"16.5, 20.26, 20.97, 19.43, 19.31, 20.85, 19.54, 20.49, 21.91,\n",
"22.51, 18.81, 19.42, 19.1, 18.8, 18.8, 17.57]\n",
"t = list(range(0, len(y)))\n",
"nodes = list(range(0, len(y)))\n",
"v1 = [] #v1 consists of first set of nodes\n",
"v2 = [] #v2 consists of the nodes which have an edge with nodes in v1, stored in the same order as v1\n",
"inv_v1 = []\n",
"inv_v2 = []\n",
"\n",
"posn = {}\n",
"for a in range(0, len(y)):\n",
" v3 = []\n",
" inv_v3 = [] #Pakeista\n",
" for b in range(0, len(y)):\n",
" visible = True\n",
" visible2 = True\n",
" if (t[b]> t[a]):\n",
" if (t[b] == t[a] + 1):\n",
" v1.append(a)\n",
" v3.append(b)\n",
" else:\n",
" for c in range(0, len(y)):\n",
" if (t[c] < t[b] and t[c] > t[a]):\n",
" value = y[b] + ((y[a] - y[b]) * ((t[b] - t[c]) / (t[b] - t[a])))\n",
" if(y[c] > value):\n",
" visible = False\n",
" elif(y[c] < value):\n",
" visible2 = False\n",
" if(visible== False and visible2==False):\n",
" break\n",
" if visible == True:\n",
" if b not in v3:\n",
" v1.append(a)\n",
" v3.append(b)\n",
" elif visible2 == True:\n",
" if b not in inv_v3:\n",
" inv_v1.append(a)\n",
" inv_v3.append(b)\n",
" v2.extend(v3) #merge the newly found nodes\n",
" inv_v2.extend(inv_v3)\n",
"#Code for creating the graph\n",
"G=nx.Graph()\n",
"G.add_nodes_from(nodes)\n",
"for i in range(0, len(v1)):\n",
" G.add_edge(v1[i], v2[i], weight = 1, color = 'g')\n",
"for i in range(0, len(inv_v1)):\n",
" if(G.has_edge(inv_v1[i], inv_v2[i])==False):\n",
" G.add_edge(inv_v1[i], inv_v2[i], weight = 0, color = 'r')\n",
"for node in nodes:\n",
" posn[node] = (t[node], y[node])\n",
"\n",
"edges = G.edges()\n",
"colors = [G[u][v]['color'] for u,v in edges]\n",
"position = nx.spring_layout(G, pos = posn, fixed = nodes)\n",
"nx.draw(G, pos=position, edge_color=colors, with_labels=True,node_color = 'b')\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "PeK--qvSX05Z"
},
"source": [
"# Program A.2 Program for Horizontal Signed Visibility Graphs"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 319
},
"id": "8_ar_3iDJtaG",
"outputId": "df9c3b62-54c5-4d66-e7d2-e4434ad747d8"
},
"source": [
"y = [25.82, 25.35, 24.29, 24.05, 24.89, 25.35, 25.23, 25.06, 27.13,\n",
"27.36, 26.65, 27.13, 27.49, 27.08, 27.51, 27.54, 26.21, 18.24,\n",
"16.5, 20.26, 20.97, 19.43, 19.31, 20.85, 19.54, 20.49, 21.91,\n",
"22.51, 18.81, 19.42, 19.1, 18.8, 18.8, 17.57]\n",
"\n",
"G2 = nx.Graph() #Pakeista\n",
"sortList = [] #Pakeista\n",
"sortList.append(y[0]) #Pakeista\n",
"\n",
"for i in range(1, len(y)):\n",
" G2.add_edge(y[i], y[i-1], weight = 1, color = 'g')\n",
" if(y[i]>y[i-1]):\n",
" loc = -1\n",
" for g in sortList:\n",
" if(g<y[i]):\n",
" loc = loc+1\n",
" else:\n",
" break\n",
" if(loc>-1):\n",
" counter = 0\n",
" while(counter<=loc):\n",
" G2.add_edge(y[i], sortList[0], weight = 1, color ='g')\n",
" del sortList[0]\n",
" counter = counter+1\n",
" sortList.append(y[i])\n",
" sortList.sort()\n",
"#Code for FHVG (Negative edges)\n",
"max_y2 = max(y)\n",
"inv_y2 = []\n",
"inv_sortList = []\n",
"for i in range(0,len(y)):\n",
" inv_y2.append((max_y2+1)-y[i])\n",
"inv_sortList.append(inv_y2[0])\n",
"for i in range(1, len(inv_y2)):\n",
" if(inv_y2[i]>inv_y2[i-1]):\n",
" loc = -1\n",
" for g in inv_sortList:\n",
" if(g<inv_y2[i]):\n",
" loc = loc+1\n",
" else:\n",
" break\n",
" if(loc>-1):\n",
" counter = 0 \n",
" while(counter<=loc):\n",
" y_val = (max_y2+1)-inv_y2[i]\n",
" sort_val = (max_y2+1)-inv_sortList[0]\n",
" if(G2.has_edge(y_val, sort_val)==False):\n",
" G2.add_edge(y_val, sort_val, weight = 0, color ='r')\n",
" del inv_sortList[0]\n",
" counter = counter+1\n",
" inv_sortList.append(inv_y2[i]) #Pakeista\n",
" inv_sortList.sort() #Pakeista\n",
"\n",
"#Code for creating the graph\n",
"for node in nodes:\n",
" posn[y[node]] = (t[node], y[node])\n",
"edges = G2.edges()\n",
"colors = [G2[u][v]['color'] for u,v in edges]\n",
"position = nx.spring_layout(G2, pos = posn, fixed = y)\n",
"nx.draw(G2, pos=position, edge_color=colors, with_labels=True,node_color = 'b')\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
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