{
"cells": [
{
"cell_type": "markdown",
"id": "1db7f356",
"metadata": {},
"source": [
"# Graph Partitioning on Dirac"
]
},
{
"cell_type": "markdown",
"id": "36427c8a",
"metadata": {},
"source": [
"#### Device: Dirac-1"
]
},
{
"cell_type": "markdown",
"id": "e41c0a52",
"metadata": {},
"source": [
"## Introduction"
]
},
{
"cell_type": "markdown",
"id": "44b3cd9e",
"metadata": {},
"source": [
"One area of study from graph theory is the graph partitioning problem. Graph partitioning is used in a range of applications. In this demo, we aim to execute and plot the optimal split of two small graph instances achieved via Qatalyst graph partitioning solver, using Dirac-1."
]
},
{
"cell_type": "markdown",
"id": "cd241193",
"metadata": {},
"source": [
"## Objective"
]
},
{
"cell_type": "markdown",
"id": "9fe81fc1",
"metadata": {},
"source": [
"##### Partition a graph into $\\textit{k}$ disjoint collections of nodes, while minimizing the number of inter-partition edges."
]
},
{
"cell_type": "markdown",
"id": "c78c34ad",
"metadata": {},
"source": [
"For example, the figure below is an illustration of the Zachary Karate Club social interactions and the partition found using DWave's quantum annealing device."
]
},
{
"cell_type": "markdown",
"id": "77022ada",
"metadata": {},
"source": [
""
]
},
{
"cell_type": "markdown",
"id": "24985788",
"metadata": {},
"source": [
"## Qatalyst"
]
},
{
"cell_type": "markdown",
"id": "edcee510",
"metadata": {},
"source": [
"### I. Imports"
]
},
{
"cell_type": "markdown",
"id": "0d85a04b",
"metadata": {},
"source": [
"Required and complementary imports:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "1798bf47",
"metadata": {},
"outputs": [],
"source": [
"from qci_client import QciClient\n",
"import helpers\n",
"import numpy as np\n",
"import networkx as nx\n",
"import sys, os\n",
"\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"id": "0015c8f2",
"metadata": {},
"source": [
"### II. Problem formulation"
]
},
{
"cell_type": "markdown",
"id": "e98ec8ab",
"metadata": {},
"source": [
"Example problem 1 - an undirected barbell graph instance (formulated via NetworkX):\n",
"- 8 nodes per cluster\n",
"- 2 nodes connected by edges between the clusters"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "ee48b196",
"metadata": {},
"outputs": [
{
"data": {
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",
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