{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# `orientations` package demo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from orientations import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Computing an arbitrary $k$-connected orientations\n",
    "\n",
    "Now we will show how to, given an undirected Sage graph $G$, compute an arbitrary $k$-connected orientation of it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "Graphics object consisting of 37 graphics primitives"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "k, v = 3, 9\n",
    "g = graphs.HararyGraph(2 * k, 9)\n",
    "g.allow_multiple_edges(True)\n",
    "\n",
    "ori = orientation(g, k)\n",
    "\n",
    "# We can check the actual orientation\n",
    "# is actually an orientation\n",
    "assert ori.to_undirected() == g\n",
    "\n",
    "assert ori.has_multiple_edges() == False\n",
    "ori.allow_multiple_edges(False)\n",
    "\n",
    "# We can check also that the actual\n",
    "# connectivity of the orientation is correct\n",
    "assert ori.edge_connectivity() == k\n",
    "\n",
    "ori.plot(layout='circular').show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Enumerating $k$-connected orientations\n",
    "\n",
    "Now we will show how to compute all the $k$-connected orientations of a given graph."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "Graphics object consisting of 31 graphics primitives"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "Graphics object consisting of 31 graphics primitives"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = Graph({\n",
    "    1: [2, 3, 8, 9],\n",
    "    2: [3, 4, 8],\n",
    "    3: [4, 9],\n",
    "    4: [5, 6, 8, 9],\n",
    "    5: [6, 7, 8],\n",
    "    6: [7, 9],\n",
    "    7: [8, 9],\n",
    "    8: [9],\n",
    "})\n",
    "\n",
    "# Plot the vertices in pre-defined coordinated\n",
    "positions = {\n",
    "    1: [0, +2],\n",
    "    2: [-0.5, 0.75],\n",
    "    3: [+0.5, 0.75],\n",
    "    4: [0, 0],\n",
    "    5: [-0.5, -0.75],\n",
    "    6: [+0.5, -0.75],\n",
    "    7: [0, -1.5],\n",
    "    8: [-4, -2],\n",
    "    9: [+4, -2],\n",
    "}\n",
    "\n",
    "g.plot(pos=positions).show()\n",
    "\n",
    "# This may take a few seconds (~7s)\n",
    "oris = list(k_orientations_iterator(g, 2))\n",
    "\n",
    "# We can check that the number of orientations is correct\n",
    "assert len(oris) == 3842\n",
    "\n",
    "oris[0].plot(pos=positions).show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "SageMath 9.1",
   "language": "sage",
   "name": "sagemath"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}