Graphs: BFS, DFS and Shortest Paths Graphs are a powerful tool for representing relationships between objects. They consist of nodes (representing entities)...
Graphs: BFS, DFS and Shortest Paths
Graphs are a powerful tool for representing relationships between objects. They consist of nodes (representing entities) connected by edges (representing relationships).
Breadth-First Search (BFS) is an algorithm used to explore the nodes in a graph systematically. It works by visiting all the neighbors of the current node, and then visiting all the neighbors of those neighbors, and so on. This process continues until all nodes in the graph have been visited.
Depth-First Search (DFS) is an algorithm used to explore the nodes in a graph depthwise. It works by visiting the children of the current node, and then visiting the grandchildren of those children, and so on. This process continues until the current node is reached or a specified depth is reached.
Shortest Paths is a problem that finds the shortest path between two nodes in a graph. There are different algorithms for solving this problem, but they all work by using a combination of BFS and DFS.
These algorithms have a wide range of applications in computer science, including network routing, scheduling, and image processing