From 4218278a436b6d31bf3a7e02a0363592beb5da34 Mon Sep 17 00:00:00 2001
From: Khushi Singh <87067309+singhkhushi3026@users.noreply.github.com>
Date: Fri, 23 Dec 2022 00:42:00 +0530
Subject: [PATCH] Create BellmanFordAlgorithm.java
---
dynamic-programming/BellmanFordAlgorithm.java | 124 ++++++++++++++++++
1 file changed, 124 insertions(+)
create mode 100644 dynamic-programming/BellmanFordAlgorithm.java
diff --git a/dynamic-programming/BellmanFordAlgorithm.java b/dynamic-programming/BellmanFordAlgorithm.java
new file mode 100644
index 0000000..e94b0c5
--- /dev/null
+++ b/dynamic-programming/BellmanFordAlgorithm.java
@@ -0,0 +1,124 @@
+import java.io.*;
+import java.lang.*;
+import java.util.*;
+class Graph {
+
+ // A class to represent a weighted edge in graph
+ class Edge {
+ int src, dest, weight;
+ Edge() { src = dest = weight = 0; }
+ };
+
+ int V, E;
+ Edge edge[];
+
+ // Creates a graph with V vertices and E edges
+ Graph(int v, int e)
+ {
+ V = v;
+ E = e;
+ edge = new Edge[e];
+ for (int i = 0; i < e; ++i)
+ edge[i] = new Edge();
+ }
+
+ void BellmanFord(Graph graph, int src)
+ {
+ int V = graph.V, E = graph.E;
+ int dist[] = new int[V];
+
+ // Step 1: Initialize distances from src to all
+ // other vertices as INFINITE
+ for (int i = 0; i < V; ++i)
+ dist[i] = Integer.MAX_VALUE;
+ dist[src] = 0;
+
+ // Step 2: Relax all edges |V| - 1 times. A simple
+ // shortest path from src to any other vertex can
+ // have at-most |V| - 1 edges
+ for (int i = 1; i < V; ++i) {
+ for (int j = 0; j < E; ++j) {
+ int u = graph.edge[j].src;
+ int v = graph.edge[j].dest;
+ int weight = graph.edge[j].weight;
+ if (dist[u] != Integer.MAX_VALUE
+ && dist[u] + weight < dist[v])
+ dist[v] = dist[u] + weight;
+ }
+ }
+
+ for (int j = 0; j < E; ++j) {
+ int u = graph.edge[j].src;
+ int v = graph.edge[j].dest;
+ int weight = graph.edge[j].weight;
+ if (dist[u] != Integer.MAX_VALUE
+ && dist[u] + weight < dist[v]) {
+ System.out.println(
+ "Graph contains negative weight cycle");
+ return;
+ }
+ }
+ printArr(dist, V);
+ }
+
+
+ void printArr(int dist[], int V)
+ {
+ System.out.println("Vertex Distance from Source");
+ for (int i = 0; i < V; ++i)
+ System.out.println(i + "\t\t" + dist[i]);
+ }
+
+ // Driver's code
+ public static void main(String[] args)
+ {
+ int V = 5; // Number of vertices in graph
+ int E = 8; // Number of edges in graph
+
+ Graph graph = new Graph(V, E);
+
+ // add edge 0-1 (or A-B in above figure)
+ graph.edge[0].src = 0;
+ graph.edge[0].dest = 1;
+ graph.edge[0].weight = -1;
+
+ // add edge 0-2 (or A-C in above figure)
+ graph.edge[1].src = 0;
+ graph.edge[1].dest = 2;
+ graph.edge[1].weight = 4;
+
+ // add edge 1-2 (or B-C in above figure)
+ graph.edge[2].src = 1;
+ graph.edge[2].dest = 2;
+ graph.edge[2].weight = 3;
+
+ // add edge 1-3 (or B-D in above figure)
+ graph.edge[3].src = 1;
+ graph.edge[3].dest = 3;
+ graph.edge[3].weight = 2;
+
+ // add edge 1-4 (or B-E in above figure)
+ graph.edge[4].src = 1;
+ graph.edge[4].dest = 4;
+ graph.edge[4].weight = 2;
+
+ // add edge 3-2 (or D-C in above figure)
+ graph.edge[5].src = 3;
+ graph.edge[5].dest = 2;
+ graph.edge[5].weight = 5;
+
+ // add edge 3-1 (or D-B in above figure)
+ graph.edge[6].src = 3;
+ graph.edge[6].dest = 1;
+ graph.edge[6].weight = 1;
+
+ // add edge 4-3 (or E-D in above figure)
+ graph.edge[7].src = 4;
+ graph.edge[7].dest = 3;
+ graph.edge[7].weight = -3;
+
+ // Function call
+ graph.BellmanFord(graph, 0);
+ }
+}
+
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