eigenvalues.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ad419614",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "from arterialvis import morphology\n",
    "import numpy.linalg\n",
    "import matplotlib.pyplot as plt\n",
    "import plotly.express as px"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "07e6bb0d",
   "metadata": {},
   "outputs": [],
   "source": [
    "edgelist = morphology.get_edgelist('BG0002.CNG.swc')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "cd269628",
   "metadata": {},
   "outputs": [],
   "source": [
    "graph = morphology.generate_graph(edgelist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a72341df",
   "metadata": {},
   "outputs": [],
   "source": [
    "L = nx.laplacian_matrix(graph)\n",
    "e = list(numpy.linalg.eigvals(L.A))\n",
    "e.reverse()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2a15e0a6",
   "metadata": {},
   "outputs": [
    {
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       " 0.6558256260906483,\n",
       " ...]"
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     "execution_count": 5,
     "metadata": {},
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     "metadata": {},
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   ],
   "source": [
    "fig = px.scatter(x=list(range(0, len(e))), y=e)\n",
    "fig.update_layout(template='plotly_white')\n",
    "fig.update_xaxes(title=\"k\")\n",
    "fig.update_yaxes(title=\"Eigenvalue\")\n",
    "fig.show()"
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   "cell_type": "code",
   "execution_count": null,
   "id": "3cd2dcea",
   "metadata": {},
   "outputs": [],
   "source": []
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  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b3e90894",
   "metadata": {},
   "outputs": [],
   "source": []
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