How to resolve the algorithm Tarjan step by step in the Julia programming language

Published on 22 June 2024 08:30 PM

How to resolve the algorithm Tarjan step by step in the Julia programming language

Table of Contents

Problem Statement

Tarjan's algorithm is an algorithm in graph theory for finding the strongly connected components of a graph. It runs in linear time, matching the time bound for alternative methods including Kosaraju's algorithm and the path-based strong component algorithm. Tarjan's Algorithm is named for its discoverer, Robert Tarjan.

See also: Kosaraju

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Tarjan step by step in the Julia programming language

The provided Julia code performs the following operations:

  1. Import the LightGraphs package, which provides functions for working with graphs.

  2. Define an edge_list that represents the edges of a directed graph. Each edge is specified as a tuple of two integers, representing the source and destination nodes.

  3. Create a SimpleDiGraph object named grph using the Edge function to convert the edge list into a graph data structure.

  4. Compute the strongly connected components (SCCs) of the graph using the strongly_connected_components function, which returns an array of arrays, where each inner array represents one SCC.

  5. Define a helper function inzerobase that converts the SCCs to a zero-based scheme, meaning it subtracts 1 from all node indices.

  6. Print the results in the zero-based scheme using the println function.

In the zero-based scheme, node indices start from 0 instead of 1. This is often useful when working with programming languages or libraries that follow the zero-based indexing convention.

Source code in the julia programming language

using LightGraphs

edge_list=[(1,2),(3,1),(6,3),(6,7),(7,6),(2,3),(4,2),(4,3),(4,5),(5,6),(5,4),(8,5),(8,8),(8,7)]

grph = SimpleDiGraph(Edge.(edge_list))

tarj = strongly_connected_components(grph)

inzerobase(arrarr) = map(x -> sort(x .- 1, rev=true), arrarr)

println("Results in the zero-base scheme: $(inzerobase(tarj))")


  

You may also check:How to resolve the algorithm Empty string step by step in the Tcl programming language
You may also check:How to resolve the algorithm Soundex step by step in the Groovy programming language
You may also check:How to resolve the algorithm Leap year step by step in the ActionScript programming language
You may also check:How to resolve the algorithm Horizontal sundial calculations step by step in the DWScript programming language
You may also check:How to resolve the algorithm Ethiopian multiplication step by step in the Rascal programming language