[Verse 1] Maya's building networks, cities intertwined Cables stretch like spider silk through neighborhoods aligned She needs to visit every node, but where should she begin? Two explorers volunteer to map what lies within [Chorus] BFS spreads wide like ripples on a pond Layer by layer, every neighbor responds DFS dives deep like roots beneath the ground Following branches till dead ends are found Graph algorithms dancing through the maze Finding connections in a million ways [Verse 2] Breadth-first takes a queue, visits friends nearby Level by level, spreading far and wide Depth-first grabs a stack, plunges straight ahead Backtracks when it hits walls, tries new paths instead Both will touch each vertex, both will see each edge Different rhythms walking on the same ledge [Chorus] BFS spreads wide like ripples on a pond Layer by layer, every neighbor responds DFS dives deep like roots beneath the ground Following branches till dead ends are found Graph algorithms dancing through the maze Finding connections in a million ways [Bridge] But Maya needs the shortest route from A to B Dijkstra steps forward with his strategy Relaxing edges, updating distances with care Building a tree of optimal paths everywhere Greedy choices, locally smart decisions Creating globally perfect provisions [Verse 3] Now she wants to connect all nodes with minimum cost Spanning trees ensure that no connection's lost Kruskal sorts the edges from cheapest to high Prim grows from a vertex, adding nearby ties Both avoid cycles, both create a frame Different methods, identical aim [Outro] From social networks to dependency graphs These algorithms forge the optimal paths Search and connect, optimize and span Graph theory's power in silicon's hand
← Fundamentals - Big O notation (time and space complexity), recursion, hash table | String Matching - useful for log analysis, pattern detection in compliance conte →