Feat :Added Various Graph Algorithms: Hamiltonian Cycle, Kahn’s Algorithm, Kosaraju’s, Kruskal, Prim’s MST, Welsh-Powell, and More #2929
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…Kosaraju’s, Kruskal, Prim’s MST, Welsh-Powell, and More This update introduces several important graph algorithms, each solving distinct problems within graph theory. The added algorithms are: Hamiltonian Cycle: Finds a cycle in a graph that visits every vertex exactly once. Kahn's Algorithm: Implements topological sorting using Kahn’s approach, which handles directed acyclic graphs (DAGs). Kosaraju's Algorithm: Efficiently finds all strongly connected components in a directed graph. Kruskal's Algorithm: A greedy algorithm for finding the Minimum Spanning Tree (MST) of a graph by adding edges in increasing weight order. Prim's MST: Another MST algorithm that grows a tree from a starting vertex, always picking the smallest connecting edge. Welsh-Powell: Implements graph coloring using the Welsh-Powell algorithm, which minimizes the number of colors required to color the graph. Bellman-Ford Algorithm: Computes shortest paths from a single source vertex to all other vertices, handling negative weight edges. Connected Component: Finds all connected components in an undirected graph. Cycle Detection: Detects and prints all cycles in a directed graph using DFS. Floyd-Warshall Algorithm: Solves the all-pairs shortest path problem using dynamic programming. Matrix Graphs: Handles various graph operations using matrix representations, such as adjacency matrices. Tarjan’s Algorithm: Finds all strongly connected components using DFS with linear time complexity. These algorithms are crucial for solving a wide variety of graph-related problems, from cycle detection and shortest paths to graph coloring and strongly connected components. Files Updated: HamiltonianCycle.java KahnsAlgorithm.java Kosaraju.java Kruskal.java PrimMST.java WelshPowell.java BellmanFord.java ConnectedComponent.java Cycles.java FloydWarshall.java MatrixGraphs.java TarjansAlgorithm.java This pull request significantly enhances the repository's graph algorithm collection, making it a comprehensive toolkit for graph theory and analysis.
Added Various Graph Algorithms: Hamiltonian Cycle, Kahn’s Algorithm, …
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