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Create Bellman-Ford Algorithm #1692

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Abiral-2724 wants to merge 1 commit into TheAlgorithms:master from Abiral-2724:patch-1
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59 changes: 59 additions & 0 deletions Graphs/Bellman-Ford Algorithm
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Original file line number Diff line number Diff line change
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class Solution {
// Function to implement Bellman Ford
// edges: array of arrays which represents the graph
// S: source vertex to start traversing graph with
// V: number of vertices
bellmanFord(V, edges, S) {
// Initialize distance array with a large value (1e8)
let dis = new Array(V).fill(1e8);
dis[S] = 0;

// Bellman Ford algorithm
for (let i = 0; i < V - 1; i++) {
for (let edge of edges) {
let u = edge[0];
let v = edge[1];
let wt = edge[2];

// If you have not reached 'u' till now, move forward
if (dis[u] !== 1e8 && dis[u] + wt < dis[v]) {
// Update distance array
dis[v] = dis[u] + wt;
}
}
}

// Checking for negative cycle
// Check for nth relaxation
for (let edge of edges) {
let u = edge[0];
let v = edge[1];
let wt = edge[2];

if (dis[u] !== 1e8 && dis[u] + wt < dis[v]) {
// If the distance array gets reduced for the nth iteration
// It means a negative cycle exists
return [-1];
}
}

return dis;
}
}

// Example usage:
let solution = new Solution();
let V = 5; // Number of vertices
let edges = [
[0, 1, -1],
[0, 2, 4],
[1, 2, 3],
[1, 3, 2],
[1, 4, 2],
[3, 2, 5],
[3, 1, 1],
[4, 3, -3]
];
let S = 0; // Source vertex

console.log(solution.bellmanFord(V, edges, S));

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