Graph Algorithms | Design and analysis of Algorithms
Graph Algorithms: Graph algorithms deal with various problems on graphs, which are structures consisting of vertices or nodes connected by edges. Some common graph algorithms include: 1. Breadth-First Search (BFS): This algorithm is used to traverse a graph in a breadth-first manner, visiting all the nodes at a given depth before moving on to the next depth level. 2. Depth-First Search (DFS): This algorithm is used to traverse a graph in a depth-first manner, visiting all the nodes on a path as far as possible before backtracking. 3. Dijkstra's Algorithm: This algorithm is used to find the shortest path between two nodes in a weighted graph. 4. Prim's Algorithm: This algorithm is used to find the minimum spanning tree of a weighted graph. 5. Kruskal's Algorithm: This algorithm is used to find the minimum spanning tree of a weighted graph. 6. Topological Sorting: This algorithm is used to order the vertices of a directed acyclic graph (DAG) in such a way tha...