kpop_network_demo.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "dying-liberia",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import datetime\n",
    "import regex as re\n",
    "\n",
    "from networkx.algorithms.flow import shortest_augmenting_path\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "%matplotlib inline\n",
    "%config Completer.use_jedi = False\n",
    "\n",
    "data = 'https://raw.githubusercontent.com/itsgorain/datasets/main/networks/kpop/kpop_edgelist.csv'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "absolute-steering",
   "metadata": {},
   "outputs": [],
   "source": [
    "def remove_punctuation(my_str):\n",
    "    return re.sub(r'[^\\w\\s]', '', my_str) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "substantial-yorkshire",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_df(data):\n",
    "    \n",
    "    network_df = pd.read_csv(data)\n",
    "\n",
    "    network_df['source'] = network_df['source'].str.lower()\n",
    "    network_df['target'] = network_df['target'].str.lower()\n",
    "\n",
    "    network_df['source'] = network_df['source'].apply(remove_punctuation)\n",
    "    network_df['target'] = network_df['target'].apply(remove_punctuation)\n",
    "    network_df['source'] = '@' + network_df['source']\n",
    "    network_df['target'] = '@' + network_df['target']\n",
    "\n",
    "    return network_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "handy-median",
   "metadata": {},
   "outputs": [],
   "source": [
    "def draw_graph(G, show_names=False):\n",
    "    \n",
    "    import numpy as np\n",
    "    from IPython.display import SVG\n",
    "    from sknetwork.visualization import svg_graph\n",
    "    from sknetwork.data import Bunch\n",
    "    from sknetwork.ranking import PageRank\n",
    "    \n",
    "    adjacency = nx.to_scipy_sparse_matrix(G, nodelist=None, dtype=None, weight='weight', format='csr')\n",
    "    names = np.array(list(G.nodes()))\n",
    "    \n",
    "    graph = Bunch()\n",
    "    graph.adjacency = adjacency\n",
    "    graph.names = np.array(names)\n",
    "\n",
    "    pagerank = PageRank()\n",
    "    scores = pagerank.fit_transform(adjacency)\n",
    "    \n",
    "    if show_names:\n",
    "        image = svg_graph(graph.adjacency, font_size=9, node_size=0, names=graph.names, width=700, height=500, scores = scores, edge_width=0.3)\n",
    "    else:\n",
    "        image = svg_graph(graph.adjacency, node_size=0.5, width=700, height=500, scores = scores, edge_width=0.3)\n",
    "    \n",
    "    return SVG(image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "worst-paris",
   "metadata": {},
   "outputs": [],
   "source": [
    "def print_graph_info(G):\n",
    "    print(nx.info(G))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "wooden-tolerance",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>source</th>\n",
       "      <th>target</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>217</th>\n",
       "      <td>@bravegirls_</td>\n",
       "      <td>@kpopggsuperior</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>218</th>\n",
       "      <td>@arenahommeplus</td>\n",
       "      <td>@pledis_17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>219</th>\n",
       "      <td>@jypetwice</td>\n",
       "      <td>@twicetly</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>220</th>\n",
       "      <td>@rbw_purplekiss</td>\n",
       "      <td>@kpopggsuperior</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>221</th>\n",
       "      <td>@cubeclc</td>\n",
       "      <td>@kpopggsuperior</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              source           target\n",
       "217     @bravegirls_  @kpopggsuperior\n",
       "218  @arenahommeplus       @pledis_17\n",
       "219       @jypetwice        @twicetly\n",
       "220  @rbw_purplekiss  @kpopggsuperior\n",
       "221         @cubeclc  @kpopggsuperior"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "network_df = get_df(data)\n",
    "network_df.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "equal-serve",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>source</th>\n",
       "      <th>target</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>@wannaoneofficial</td>\n",
       "      <td>@wannaone_twt</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>@hyoyeon_djhyo</td>\n",
       "      <td>@rvsmtown</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>@applemusic</td>\n",
       "      <td>@blackpink</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>@spotify</td>\n",
       "      <td>@blackpink</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>@blackpink</td>\n",
       "      <td>@blackpink</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              source         target\n",
       "0  @wannaoneofficial  @wannaone_twt\n",
       "1     @hyoyeon_djhyo      @rvsmtown\n",
       "2        @applemusic     @blackpink\n",
       "3           @spotify     @blackpink\n",
       "4         @blackpink     @blackpink"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "network_df = network_df[network_df['source'] != '@']\n",
    "\n",
    "# fix problems\n",
    "network_df['source'] = network_df['source'].str.replace('@blackpinks', '@blackpink')\n",
    "network_df['source'] = network_df['source'].str.replace('@sf9official現場でパシャパシャ', '@sf9official')\n",
    "\n",
    "# cleanup\n",
    "network_df.drop_duplicates(inplace=True)\n",
    "\n",
    "network_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "unique-plaintiff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['@applemusic',\n",
       " '@blackpink',\n",
       " '@bravegirls_',\n",
       " '@bts_bighit',\n",
       " '@bts_twt',\n",
       " '@got7official',\n",
       " '@itzyofficial',\n",
       " '@justinbieber',\n",
       " '@jypetwice',\n",
       " '@kr_now',\n",
       " '@latelateshow',\n",
       " '@picsartstudio',\n",
       " '@recordingacad',\n",
       " '@rvsmtown',\n",
       " '@shopeeid',\n",
       " '@spotify',\n",
       " '@spotifykr',\n",
       " '@ygselect',\n",
       " '@zanelowe',\n",
       " '@zepeto_official']"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# find top connected source nodes\n",
    "sorted(network_df.groupby('source').count().sort_values('target', ascending=False)[0:20].index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "scheduled-muslim",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(204, 2)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "network_df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "peripheral-trust",
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.from_pandas_edgelist(network_df, create_using=nx.Graph)\n",
    "G.remove_edges_from(nx.selfloop_edges(G))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "noble-cookbook",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Name: \n",
      "Type: Graph\n",
      "Number of nodes: 171\n",
      "Number of edges: 193\n",
      "Average degree:   2.2573\n"
     ]
    }
   ],
   "source": [
    "print_graph_info(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "empirical-bowling",
   "metadata": {},
   "outputs": [],
   "source": [
    "# just showing how simple it is to remove junk, but you can also do it at the dataframe\n",
    "\n",
    "drop_nodes = ['#1', '#2', '#3', '#4', '#5', '#6', '#7', '#8', '#9', '#10', '@']\n",
    "\n",
    "G.remove_nodes_from(drop_nodes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "seeing-cable",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>cent_value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>@zanelowe</th>\n",
       "      <td>0.485503</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>@spotifykr</th>\n",
       "      <td>0.388149</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>@blackpink</th>\n",
       "      <td>0.334167</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>@ygofficialblink</th>\n",
       "      <td>0.194106</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>@bts_bighit</th>\n",
       "      <td>0.186326</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>@applemusic</th>\n",
       "      <td>0.185710</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>@spotify</th>\n",
       "      <td>0.137106</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>@justinbieber</th>\n",
       "      <td>0.128209</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>@jypetwice</th>\n",
       "      <td>0.108204</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>@ygselect</th>\n",
       "      <td>0.097736</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  cent_value\n",
       "@zanelowe           0.485503\n",
       "@spotifykr          0.388149\n",
       "@blackpink          0.334167\n",
       "@ygofficialblink    0.194106\n",
       "@bts_bighit         0.186326\n",
       "@applemusic         0.185710\n",
       "@spotify            0.137106\n",
       "@justinbieber       0.128209\n",
       "@jypetwice          0.108204\n",
       "@ygselect           0.097736"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cent_df = pd.DataFrame(nx.eigenvector_centrality(G), index=[0]).T\n",
    "cent_df.columns = ['cent_value']\n",
    "cent_df.sort_values('cent_value', ascending=False, inplace=True)\n",
    "cent_df.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "electoral-disabled",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cent_df[0:20].plot.barh(figsize=(4, 8), title='K-Pop Feed Important Nodes')\n",
    "plt.gca().invert_yaxis()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "specific-partition",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['@applemusic',\n",
       " '@blackpink',\n",
       " '@bts_bighit',\n",
       " '@charli_xcx',\n",
       " '@danreynolds',\n",
       " '@gwenstefani',\n",
       " '@iamjoellittle',\n",
       " '@imaginedragons',\n",
       " '@itzyofficial',\n",
       " '@jheneaiko',\n",
       " '@jonbatiste',\n",
       " '@justinbieber',\n",
       " '@jypetwice',\n",
       " '@kpopggsuperior',\n",
       " '@lanadelrey',\n",
       " '@latelateshow',\n",
       " '@liltjay',\n",
       " '@nickjonas',\n",
       " '@no_rome',\n",
       " '@pledis_17',\n",
       " '@rvsmtown',\n",
       " '@slowthai',\n",
       " '@spotify',\n",
       " '@spotifykr',\n",
       " '@stray_kids',\n",
       " '@whoisaddison',\n",
       " '@ygofficialblink',\n",
       " '@ygselect',\n",
       " '@zanelowe',\n",
       " '@zepeto_official']"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# top 30 users by centrality\n",
    "\n",
    "sorted(cent_df[cent_df.index.str.contains('@')][0:30].index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "level-burns",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k_cutoff = 1 # nothing will be less than 1 due to how network was built; increase to see core nodes\n",
    "\n",
    "draw_graph(nx.k_core(G, k_cutoff), show_names=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "fatal-notion",
   "metadata": {},
   "outputs": [],
   "source": [
    "# what does BTS centric network look like\n",
    "\n",
    "def draw_group_graph(group):\n",
    "\n",
    "    mask = network_df['source'].str.contains(group) | network_df['target'].str.contains(group)\n",
    "\n",
    "    G_small = nx.from_pandas_edgelist(network_df[mask])\n",
    "    \n",
    "    return draw_graph(G_small, show_names=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "precious-medline",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg height=\"540\" width=\"812.0\" xmlns=\"http://www.w3.org/2000/svg\"><path d=\"M 20 391 97 358\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 97 358 20 391\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 97 358 39 256\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 97 358 168 369\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 97 358 121 520\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 97 358 57 507\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 97 358 169 186\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 39 256 97 358\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 168 369 97 358\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 168 369 212 285\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 212 285 168 369\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 212 285 169 186\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 121 520 97 358\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 57 507 97 358\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 720 196 666 193\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 666 193 720 196\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 666 193 612 189\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 612 189 666 193\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 169 186 97 358\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 169 186 212 285\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 169 186 237 102\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 169 186 165 20\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 237 102 169 186\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 165 20 169 186\" stroke=\"gray\" stroke-width=\"0.3\"/><circle cx=\"20\" cy=\"391\" r=\"0.0\" style=\"fill:rgb(60, 79, 195);stroke:black;stroke-width:1.0\"/><circle cx=\"97\" cy=\"358\" r=\"0.0\" style=\"fill:rgb(179, 3, 38);stroke:black;stroke-width:1.0\"/><circle cx=\"39\" cy=\"256\" r=\"0.0\" style=\"fill:rgb(60, 79, 195);stroke:black;stroke-width:1.0\"/><circle cx=\"168\" cy=\"369\" r=\"0.0\" style=\"fill:rgb(123, 158, 248);stroke:black;stroke-width:1.0\"/><circle cx=\"212\" cy=\"285\" r=\"0.0\" style=\"fill:rgb(112, 147, 243);stroke:black;stroke-width:1.0\"/><circle cx=\"121\" cy=\"520\" r=\"0.0\" style=\"fill:rgb(60, 79, 195);stroke:black;stroke-width:1.0\"/><circle cx=\"57\" cy=\"507\" r=\"0.0\" style=\"fill:rgb(60, 79, 195);stroke:black;stroke-width:1.0\"/><circle cx=\"720\" cy=\"196\" r=\"0.0\" style=\"fill:rgb(96, 128, 232);stroke:black;stroke-width:1.0\"/><circle cx=\"666\" cy=\"193\" r=\"0.0\" style=\"fill:rgb(183, 207, 249);stroke:black;stroke-width:1.0\"/><circle cx=\"612\" cy=\"189\" r=\"0.0\" style=\"fill:rgb(96, 128, 232);stroke:black;stroke-width:1.0\"/><circle cx=\"169\" cy=\"186\" r=\"0.0\" style=\"fill:rgb(246, 189, 164);stroke:black;stroke-width:1.0\"/><circle cx=\"237\" cy=\"102\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"165\" cy=\"20\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><text font-size=\"9\" x=\"23\" y=\"391\">@nyre</text><text font-size=\"9\" x=\"100\" y=\"358\">@bts_bighit</text><text font-size=\"9\" x=\"42\" y=\"256\">@spotify</text><text font-size=\"9\" x=\"171\" y=\"369\">@spotifykr</text><text font-size=\"9\" x=\"215\" y=\"285\">@bts_twt</text><text font-size=\"9\" x=\"124\" y=\"520\">@zanelowe</text><text font-size=\"9\" x=\"60\" y=\"507\">@applemusic</text><text font-size=\"9\" x=\"723\" y=\"196\">@backnumberstaff</text><text font-size=\"9\" x=\"669\" y=\"193\">@bts_jp_official</text><text font-size=\"9\" x=\"615\" y=\"189\">@signal_ktv</text><text font-size=\"9\" x=\"172\" y=\"186\">@bts_army</text><text font-size=\"9\" x=\"240\" y=\"102\">@musicares</text><text font-size=\"9\" x=\"168\" y=\"20\">@recordingacad</text></svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "draw_group_graph('bts')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "exterior-sector",
   "metadata": {},
   "outputs": [
    {
     "data": {
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stroke-width=\"0.3\"/><path d=\"M 488 510 369 261\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 102 200 369 261\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 239 376 369 261\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 460 20 369 261\" stroke=\"gray\" stroke-width=\"0.3\"/><circle cx=\"256\" cy=\"193\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"369\" cy=\"261\" r=\"0.0\" style=\"fill:rgb(179, 3, 38);stroke:black;stroke-width:1.0\"/><circle cx=\"20\" cy=\"248\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"614\" cy=\"107\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"568\" cy=\"434\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"500\" cy=\"100\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"413\" cy=\"451\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"506\" cy=\"330\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"613\" cy=\"260\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"232\" cy=\"465\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"67\" cy=\"337\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"311\" cy=\"520\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"680\" cy=\"179\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"109\" cy=\"428\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"233\" cy=\"24\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"720\" cy=\"289\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"666\" cy=\"385\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"87\" cy=\"103\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"353\" cy=\"57\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"211\" cy=\"105\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"488\" cy=\"510\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"102\" cy=\"200\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"239\" cy=\"376\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"460\" cy=\"20\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><text font-size=\"9\" x=\"259\" y=\"193\">@applemusic</text><text font-size=\"9\" x=\"372\" y=\"261\">@blackpink</text><text font-size=\"9\" x=\"23\" y=\"248\">@spotify</text><text font-size=\"9\" x=\"617\" y=\"107\">@tiktok_stage</text><text font-size=\"9\" x=\"571\" y=\"434\">@selenagomez</text><text font-size=\"9\" x=\"503\" y=\"100\">@recordingacad</text><text font-size=\"9\" x=\"416\" y=\"451\">@jimmykimmellive</text><text font-size=\"9\" x=\"509\" y=\"330\">@gma</text><text font-size=\"9\" x=\"616\" y=\"260\">@ygselect</text><text font-size=\"9\" x=\"235\" y=\"465\">@blackpinkofficial</text><text font-size=\"9\" x=\"70\" y=\"337\">@pubgmobile</text><text font-size=\"9\" x=\"314\" y=\"520\">@bccard_official</text><text font-size=\"9\" x=\"683\" y=\"179\">@ukinkorea</text><text font-size=\"9\" x=\"112\" y=\"428\">@cop26</text><text font-size=\"9\" x=\"236\" y=\"24\">@radiodotcom</text><text font-size=\"9\" x=\"723\" y=\"289\">@latelateshow</text><text font-size=\"9\" x=\"669\" y=\"385\">@picsartstudio</text><text font-size=\"9\" x=\"90\" y=\"103\">@spotifykr</text><text font-size=\"9\" x=\"356\" y=\"57\">@zepeto_official</text><text font-size=\"9\" x=\"214\" y=\"105\">@youtube</text><text font-size=\"9\" x=\"491\" y=\"510\">@bbclbicker</text><text font-size=\"9\" x=\"105\" y=\"200\">@adidasoriginals</text><text font-size=\"9\" x=\"242\" y=\"376\">@zanelowe</text><text font-size=\"9\" x=\"463\" y=\"20\">@kpopggsuperior</text></svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "draw_group_graph('pink') # blackpink is much more connected than bts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "hairy-discrimination",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg height=\"540\" width=\"812.0\" xmlns=\"http://www.w3.org/2000/svg\"><path d=\"M 247 227 230 359\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 230 359 247 227\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 230 359 125 162\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 230 359 48 451\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 230 359 74 282\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 230 359 138 508\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 230 359 20 364\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 230 359 368 488\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 230 359 397 397\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 230 359 254 520\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 230 359 519 336\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 230 359 369 261\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 125 162 230 359\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 125 162 53 20\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 53 20 125 162\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 48 451 230 359\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 74 282 230 359\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 138 508 230 359\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 20 364 230 359\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 368 488 230 359\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 397 397 230 359\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 254 520 230 359\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 519 336 230 359\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 519 336 720 323\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 720 323 519 336\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 369 261 230 359\" stroke=\"gray\" stroke-width=\"0.3\"/><circle cx=\"247\" cy=\"227\" r=\"0.0\" style=\"fill:rgb(60, 79, 195);stroke:black;stroke-width:1.0\"/><circle cx=\"230\" cy=\"359\" r=\"0.0\" style=\"fill:rgb(179, 3, 38);stroke:black;stroke-width:1.0\"/><circle cx=\"125\" cy=\"162\" r=\"0.0\" style=\"fill:rgb(103, 136, 237);stroke:black;stroke-width:1.0\"/><circle cx=\"53\" cy=\"20\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"48\" cy=\"451\" r=\"0.0\" style=\"fill:rgb(60, 79, 195);stroke:black;stroke-width:1.0\"/><circle cx=\"74\" cy=\"282\" r=\"0.0\" style=\"fill:rgb(60, 79, 195);stroke:black;stroke-width:1.0\"/><circle cx=\"138\" cy=\"508\" r=\"0.0\" style=\"fill:rgb(60, 79, 195);stroke:black;stroke-width:1.0\"/><circle cx=\"20\" cy=\"364\" r=\"0.0\" style=\"fill:rgb(60, 79, 195);stroke:black;stroke-width:1.0\"/><circle cx=\"368\" cy=\"488\" r=\"0.0\" style=\"fill:rgb(60, 79, 195);stroke:black;stroke-width:1.0\"/><circle cx=\"397\" cy=\"397\" r=\"0.0\" style=\"fill:rgb(60, 79, 195);stroke:black;stroke-width:1.0\"/><circle cx=\"254\" cy=\"520\" r=\"0.0\" style=\"fill:rgb(60, 79, 195);stroke:black;stroke-width:1.0\"/><circle cx=\"519\" cy=\"336\" r=\"0.0\" style=\"fill:rgb(103, 136, 237);stroke:black;stroke-width:1.0\"/><circle cx=\"720\" cy=\"323\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"369\" cy=\"261\" r=\"0.0\" style=\"fill:rgb(60, 79, 195);stroke:black;stroke-width:1.0\"/><text font-size=\"9\" x=\"250\" y=\"227\">@colbertlateshow</text><text font-size=\"9\" x=\"233\" y=\"359\">@jypetwice</text><text font-size=\"9\" x=\"128\" y=\"162\">@thinktwicekpop</text><text font-size=\"9\" x=\"56\" y=\"20\">@mnetmama</text><text font-size=\"9\" x=\"51\" y=\"451\">@target</text><text font-size=\"9\" x=\"77\" y=\"282\">@playstation</text><text font-size=\"9\" x=\"141\" y=\"508\">@spotify</text><text font-size=\"9\" x=\"23\" y=\"364\">@zepeto_official</text><text font-size=\"9\" x=\"371\" y=\"488\">@zepeto_jp</text><text font-size=\"9\" x=\"400\" y=\"397\">@time</text><text font-size=\"9\" x=\"257\" y=\"520\">@spotifykr</text><text font-size=\"9\" x=\"522\" y=\"336\">@misayeon</text><text font-size=\"9\" x=\"723\" y=\"323\">@_respect_twice_</text><text font-size=\"9\" x=\"372\" y=\"261\">@twicetly</text></svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "draw_group_graph('twice')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "intelligent-healing",
   "metadata": {},
   "outputs": [],
   "source": [
    "# disconnected pieces of a network will show up as separate components; like islands/countries\n",
    "\n",
    "components = sorted(nx.connected_components(nx.k_core(G, k_cutoff)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "subject-feeding",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'@amazonmusic',\n",
       " '@amazonmusicjp',\n",
       " '@applemusicjapan',\n",
       " '@buzzrhythm_ntv',\n",
       " '@nhk_kouhaku',\n",
       " '@niziu__official',\n",
       " '@rmusic_official',\n",
       " '@spotifyjp',\n",
       " '@tbscdtv'}"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "components[3] # inspect components by n if you want to see what is in them"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "bigger-bacon",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg height=\"540\" width=\"812.0\" xmlns=\"http://www.w3.org/2000/svg\"><path d=\"M 238 520 362 270\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 214 29 362 270\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 486 20 362 270\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 720 355 362 270\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 20 177 362 270\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 28 383 362 270\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 362 270 238 520\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 362 270 214 29\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 362 270 486 20\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 362 270 720 355\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 362 270 20 177\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 362 270 28 383\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 362 270 695 155\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 362 270 528 506\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 695 155 362 270\" stroke=\"gray\" stroke-width=\"0.3\"/><path d=\"M 528 506 362 270\" stroke=\"gray\" stroke-width=\"0.3\"/><circle cx=\"238\" cy=\"520\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"214\" cy=\"29\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"486\" cy=\"20\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"720\" cy=\"355\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"20\" cy=\"177\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"28\" cy=\"383\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"362\" cy=\"270\" r=\"0.0\" style=\"fill:rgb(179, 3, 38);stroke:black;stroke-width:1.0\"/><circle cx=\"695\" cy=\"155\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><circle cx=\"528\" cy=\"506\" r=\"0.0\" style=\"fill:rgb(58, 76, 192);stroke:black;stroke-width:1.0\"/><text font-size=\"9\" x=\"241\" y=\"520\">@tbscdtv</text><text font-size=\"9\" x=\"217\" y=\"29\">@applemusicjapan</text><text font-size=\"9\" x=\"489\" y=\"20\">@rmusic_official</text><text font-size=\"9\" x=\"723\" y=\"355\">@buzzrhythm_ntv</text><text font-size=\"9\" x=\"23\" y=\"177\">@spotifyjp</text><text font-size=\"9\" x=\"31\" y=\"383\">@nhk_kouhaku</text><text font-size=\"9\" x=\"365\" y=\"270\">@niziu__official</text><text font-size=\"9\" x=\"698\" y=\"155\">@amazonmusic</text><text font-size=\"9\" x=\"531\" y=\"506\">@amazonmusicjp</text></svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "draw_graph(G.subgraph(components[3]), show_names=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "bronze-progress",
   "metadata": {},
   "outputs": [
    {
     "data": {
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