Understanding Floyd Warshall Algorithm for All-Pairs Shortest Path in Graphs

An Overview of Floyd Warshall Algorithm | Karthikeyan Nagaraj

Karthikeyan Nagaraj

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Mar 1, 2023

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Introduction

• Algorithms are a fundamental aspect of computer science and play a vital role in solving complex problems.
• One such algorithm that is commonly used in graph theory is the Floyd Warshall Algorithm.
• This algorithm is used to find the shortest path between all pairs of nodes in a graph.
• In this article, we will delve into what Floyd Warshall Algorithm is, how it works, its uniqueness, advantages, and disadvantages, use cases, and finally, summarize the algorithm’s main features.

What is Floyd Warshall Algorithm?

• The Floyd Warshall Algorithm is an algorithm that solves the all-pairs shortest path problem in a weighted graph.
• The algorithm calculates the shortest path between all pairs of vertices in a graph.
• This algorithm is named after its developers, Robert Floyd and Stephen Warshall, who first published the algorithm in 1962.

The uniqueness of Floyd Warshall Algorithm:

• Floyd Warshall…