How to resolve the algorithm Tarjan step by step in the Julia programming language
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:
-
Import the
LightGraphs
package, which provides functions for working with graphs. -
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. -
Create a
SimpleDiGraph
object namedgrph
using theEdge
function to convert the edge list into a graph data structure. -
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. -
Define a helper function
inzerobase
that converts the SCCs to a zero-based scheme, meaning it subtracts 1 from all node indices. -
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))")
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