TopoSort Added

Author: LONECODER1

package-lock.json

@@ -35,7 +35,7 @@
     "@types/node": "^24.7.1",
     "@types/react": "^19.1.16",
     "@types/react-dom": "^19.1.9",
-    "@vitejs/plugin-react": "^5.0.4",
+    "@vitejs/plugin-react": "^5.1.0",
     "autoprefixer": "^10.4.21",
     "eslint": "^9.36.0",
     "eslint-plugin-react-hooks": "^5.2.0",

package.json

@@ -0,0 +1,87 @@
+export default function runTopologicalSortDFS(nodes, edges) {
+  const adjList = {};
+  const visited = {};
+  const topoOrder = [];
+  const steps = [];
+  let hasCycle = false;
+
+  // Initialize adjacency list
+  nodes.forEach(node => {
+    adjList[node] = [];
+    visited[node] = 0; // 0 = unvisited, 1 = visiting, 2 = visited
+  });
+
+  // Build graph
+  edges.forEach(({ from, to }) => {
+    adjList[from].push(to);
+  });
+
+  function dfs(node) {
+    if (hasCycle) return; // stop early if cycle found
+    visited[node] = 1;
+    steps.push({
+      type: "visit",
+      node,
+      status: "visiting",
+      message: `Visiting ${node}`
+    });
+
+    for (const neighbor of adjList[node]) {
+      if (visited[neighbor] === 0) {
+        steps.push({
+          type: "exploreEdge",
+          from: node,
+          to: neighbor,
+          message: `Exploring edge ${node} → ${neighbor}`
+        });
+        dfs(neighbor);
+      } else if (visited[neighbor] === 1) {
+        // Back edge → cycle detected
+        hasCycle = true;
+        steps.push({
+          type: "cycleDetected",
+          from: node,
+          to: neighbor,
+          message: `Cycle detected via ${node} → ${neighbor}`
+        });
+      }
+    }
+
+    visited[node] = 2;
+    topoOrder.push(node);
+    steps.push({
+      type: "addToTopoOrder",
+      node,
+      topoOrder: [...topoOrder],
+      message: `Added ${node} to topo order`
+    });
+  }
+
+  // Run DFS for all unvisited nodes
+  for (const node of nodes) {
+    if (visited[node] === 0) {
+      steps.push({
+        type: "startDFS",
+        node,
+        message: `Starting DFS from ${node}`
+      });
+      dfs(node);
+    }
+  }
+
+  if (!hasCycle) {
+    topoOrder.reverse(); // reverse for correct topological order
+    steps.push({
+      type: "finalOrder",
+      topoOrder: [...topoOrder],
+      message: `Topological sort completed successfully`
+    });
+  } else {
+    steps.push({
+      type: "finalCycle",
+      message: `Topological sort failed — cycle exists in graph`
+    });
+  }
+
+  return steps;
+}

src/algorithms/graph/topoSortDFS.js

@@ -0,0 +1,73 @@
+export default function runTopologicalSort(nodes, edges) {
+  const inDegree = {};
+  const adjList = {};
+
+  // Initialize in-degree and adjacency list
+  nodes.forEach(node => {
+    inDegree[node] = 0;
+    adjList[node] = [];
+  });
+
+  // Build graph
+  edges.forEach(({ from, to }) => {
+    adjList[from].push(to);
+    inDegree[to]++;
+  });
+
+  const steps = [];
+  const queue = [];
+  const topoOrder = [];
+
+  // Enqueue nodes with 0 in-degree
+  for (const node of nodes) {
+    if (inDegree[node] === 0) {
+      queue.push(node);
+      steps.push({
+        type: "enqueue",
+        node,
+        reason: "in-degree 0"
+      });
+    }
+  }
+
+  // Process nodes
+  while (queue.length > 0) {
+    const current = queue.shift();
+    topoOrder.push(current);
+
+    steps.push({
+      type: "visit",
+      node: current,
+      topoOrder: [...topoOrder]
+    });
+
+    for (const neighbor of adjList[current]) {
+      inDegree[neighbor]--;
+      steps.push({
+        type: "decrementInDegree",
+        from: current,
+        to: neighbor,
+        newInDegree: inDegree[neighbor]
+      });
+
+      if (inDegree[neighbor] === 0) {
+        queue.push(neighbor);
+        steps.push({
+          type: "enqueue",
+          node: neighbor,
+          reason: "in-degree became 0"
+        });
+      }
+    }
+  }
+
+  // Check for cycles (if topoOrder doesn't include all nodes)
+  if (topoOrder.length !== nodes.length) {
+    steps.push({
+      type: "cycleDetected",
+      remainingNodes: nodes.filter(n => !topoOrder.includes(n))
+    });
+  }
+
+  return steps;
+}