feat: Add Topological Sorting using DFS#7111
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Raghu0703 wants to merge 4 commits intoTheAlgorithms:masterfrom
Closed
feat: Add Topological Sorting using DFS#7111Raghu0703 wants to merge 4 commits intoTheAlgorithms:masterfrom
Raghu0703 wants to merge 4 commits intoTheAlgorithms:masterfrom
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- Implements Kruskal's algorithm using Union-Find - Includes comprehensive unit tests - Time complexity: O(E log E) - Space complexity: O(V + E) Fixes TheAlgorithms#7067
- Implements backtracking algorithm to solve 9x9 Sudoku puzzles - Includes isValid() method to check Sudoku constraints - Includes solveSudoku() method with recursive backtracking - Adds comprehensive unit tests covering multiple scenarios - Tests include solvable, unsolvable, empty, and difficult puzzles - Includes example usage in main method with formatted output - Documents time complexity O(9^m) and space complexity O(m) Fixes TheAlgorithms#6929
- Implement DFS-based topological sort for DAGs - Add cycle detection for DAG validation - Include comprehensive test cases - Add documentation and examples Fixes TheAlgorithms#6938
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Description
This PR implements Topological Sorting using Depth-First Search (DFS) for Directed Acyclic Graphs (DAGs) as requested in issue #6938.
Changes Made
TopologicalSortDFS.javawith DFS-based topological sorting algorithmTopologicalSortDFSTest.java) with 20+ test casesTopologicalSortExample.java) demonstrating real-world usageAlgorithm Details
IllegalArgumentExceptionfor non-DAG graphsisDAG()utility method for graph validationImplementation Highlights
List<List<Integer>>Test Coverage
The test suite includes comprehensive coverage for:
Example Usage