{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "c9531bac",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%HTML\n",
""
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "25138dfd",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import networkx as nx"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "1a17a18b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
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