Tag: Graph traversal
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Graphs : Dijkstra Algorithm
Dijkstra’s algorithm is a fundamental graph traversal technique used to find the shortest path from a single source node to all other nodes in a weighted graph. Developed by Edsger W. Dijkstra in 1956, the algorithm operates efficiently by iteratively exploring the least-cost paths. It is widely employed in network routing, GPS navigation, and resource…
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Graphs : DFS
Depth-First Search (DFS) is a fundamental graph traversal algorithm that explores as far as possible along each branch before backtracking. It is widely used in computer science for tasks such as solving puzzles, finding connected components, topological sorting, and detecting cycles in graphs. DFS operates on both directed and undirected graphs and works for graph…
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Graph : BFS
Breadth-First Search (BFS) is a fundamental graph traversal algorithm that explores all vertices at the current depth level before moving to the next level. It is widely used in various applications, such as finding the shortest path, solving puzzles, and network flow analysis. BFS works efficiently on both directed and undirected graphs, represented as adjacency…
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Graphs : A* Algorithm
The A* algorithm is a widely used graph traversal and search algorithm, ideal for finding the shortest path between two nodes. It combines the strengths of Dijkstra’s algorithm and Greedy Best-First Search by using a heuristic to guide its search, making it both efficient and optimal. Commonly utilized in navigation systems, robotics, and artificial intelligence,…
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BFS (Breadth-First Search)
Breadth-First Search (BFS) is a graph traversal algorithm that explores all the vertices of a graph level by level, starting from a given source vertex. BFS is often used in unweighted graphs to find the shortest path between two nodes, solve puzzles like mazes, and perform other graph-based analyses. BFS Algorithm Overview BFS uses a…