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C# – Bellman–Ford Algorithm – Csharp Star

learningcode_x1mckf by learningcode_x1mckf
September 4, 2022
in C#
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On this article, we’ll be taught C# implementation of Bellman–Ford Algorithm for figuring out the shortest paths from a single supply vertex to the entire different vertices in a weighted graph

utilizing System;
utilizing System.Collections.Generic;
utilizing System.Linq;
utilizing System.Textual content;
utilizing System.Diagnostics;

namespace BellmanFordAlgorithm
{
    class BellmanFordAlgo
    
        public struct Edge
        
            public int Supply;
            public int Vacation spot;
            public int Weight;
        

        public struct Graph
        
            public int VerticesCount;
            public int EdgesCount;
            public Edge[] edge;
        

        public static Graph CreateGraph(int verticesCount, int edgesCount)
        
            Graph graph = new Graph();
            graph.VerticesCount = verticesCount;
            graph.EdgesCount = edgesCount;
            graph.edge = new Edge[graph.EdgesCount];

            return graph;
        

        personal static void Print(int[] distance, int rely)
        
            Console.WriteLine("Vertex   Distance from supply");

            for (int i = 0; i < rely; ++i)
                Console.WriteLine("0t 1", i, distance[i]);
        

        public static void BellmanFord(Graph graph, int supply)
        
            int verticesCount = graph.VerticesCount;
            int edgesCount = graph.EdgesCount;
            int[] distance = new int[verticesCount];

            for (int i = 0; i < verticesCount; i++)
                distance[i] = int.MaxValue;

            distance[source] = 0;

            for (int i = 1; i <= verticesCount - 1; ++i)
            
                for (int j = 0; j < edgesCount; ++j)
                
                    int u = graph.edge[j].Supply;
                    int v = graph.edge[j].Vacation spot;
                    int weight = graph.edge[j].Weight;

                    if (distance[u] != int.MaxValue && distance[u] + weight < distance[v])
                        distance[v] = distance[u] + weight;
                
            

            for (int i = 0; i < edgesCount; ++i)
            
                int u = graph.edge[i].Supply;
                int v = graph.edge[i].Vacation spot;
                int weight = graph.edge[i].Weight;

                if (distance[u] != int.MaxValue && distance[u] + weight < distance[v])
                    Console.WriteLine("Graph incorporates detrimental weight cycle.");
            

            Print(distance, verticesCount);
        

        static void Major(string[] args)
        
            int verticesCount = 5;
            int edgesCount = 8;
            Graph graph = CreateGraph(verticesCount, edgesCount);

            // Edge 0-1
            graph.edge[0].Supply = 0;
            graph.edge[0].Vacation spot = 1;
            graph.edge[0].Weight = -1;

            // Edge 0-2
            graph.edge[1].Supply = 0;
            graph.edge[1].Vacation spot = 2;
            graph.edge[1].Weight = 4;

            // Edge 1-2
            graph.edge[2].Supply = 1;
            graph.edge[2].Vacation spot = 2;
            graph.edge[2].Weight = 3;

            // Edge 1-3
            graph.edge[3].Supply = 1;
            graph.edge[3].Vacation spot = 3;
            graph.edge[3].Weight = 2;

            // Edge 1-4
            graph.edge[4].Supply = 1;
            graph.edge[4].Vacation spot = 4;
            graph.edge[4].Weight = 2;

            // Edge 3-2
            graph.edge[5].Supply = 3;
            graph.edge[5].Vacation spot = 2;
            graph.edge[5].Weight = 5;

            // Edge 3-1
            graph.edge[6].Supply = 3;
            graph.edge[6].Vacation spot = 1;
            graph.edge[6].Weight = 1;

            // Edge 4-3
            graph.edge[7].Supply = 4;
            graph.edge[7].Vacation spot = 3;
            graph.edge[7].Weight = -3;

            BellmanFord(graph, 0);
        
    
}

 

Output:

Vertex Distance from supply
0 0
1 -1
2 2
3 -2
4 1
 
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