C Program to Generate the graph sheet using the grphics.h library. To use graphics.h, we have to install the drivers in to the the system by using the initgraph() function. Here we derive the graph of input sizes verses time taken for input sizes. x axis represents inputs(0,10000,20000,—-), y axis rep time(0,0.05,0.1,0.15—). Read more about …
Prim’s algorithm finds the Minimum Spanning Tree (MST) of a weighted undirected graph — the set of edges that connects all vertices at the lowest possible total cost. It works by growing a single tree: start at any vertex, then repeatedly add the cheapest edge that reaches a vertex not yet in the tree, until …
Depth First Search (DFS) is a graph traversal algorithm that explores as far as possible along each branch before backtracking. Starting from a source node, it follows one path all the way to a dead end, then backtracks and tries the next unvisited neighbor. DFS uses a stack — either an explicit one or the …
Breadth First Search (BFS) is a graph traversal algorithm that explores nodes level by level — starting from a source, it visits all immediate neighbors first, then their neighbors, and so on. Because of this level-by-level behavior, BFS always finds the shortest path in an unweighted graph. It is used in GPS navigation, social network …
Dijkstra’s algorithm finds the shortest path from one source vertex to all other vertices in a weighted graph with non-negative edge weights. It is a greedy algorithm: at each step it picks the unvisited vertex with the smallest known distance, marks it done, and relaxes its neighbours — updating any neighbour’s distance if a shorter …