{
"cells": [
{
"cell_type": "markdown",
"id": "2133c064",
"metadata": {},
"source": [
"
\n",
"\n",
"### Programming large-scale parallel systems\n",
"\n",
"\n",
"# All pairs of shortest paths\n"
]
},
{
"cell_type": "markdown",
"id": "a7b64d5a",
"metadata": {},
"source": [
"## Contents\n",
"\n",
"In this notebook, we will learn\n",
"\n",
"- How to parallelize Floyd's algorithm\n",
"- How communication can affect the correctness of a distributed algorithm\n"
]
},
{
"cell_type": "markdown",
"id": "ade31d26",
"metadata": {},
"source": [
"## The All Pairs of Shortest Paths (ASP) problem\n",
"\n",
"Let us start by presenting the all pairs of shortest paths (ASP) problem and its solution with the [Floyd–Warshall algorithm](https://en.wikipedia.org/wiki/Floyd%E2%80%93Warshall_algorithm).\n",
"\n",
"### Problem statement\n",
"\n",
"- Given a graph $G$ with a distance table $C$\n",
"- Compute the length of the shortest path between any two nodes in $G$\n",
"\n",
"We represent the distance table as a matrix, where $C_{ij}$ is the distance from node $i$ to node $j$. Next figure shows the input and solution (output) of the ASP problem for a simple 4-node directed graph. Note that the minimum distance from node 2 to node 3, which is $C_{23}=8$ as highlighted in the figure.\n"
]
},
{
"attachments": {
"g37385.png": {
"image/png": "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"
}
},
"cell_type": "markdown",
"id": "7605a53f",
"metadata": {},
"source": [
"