Solution

Backtracking is a general algorithmic technique used for solving problems incrementally, such as finding a Hamiltonian cycle, where a solution is built step-by-step. Backtracking tries all possibilities and retreats when a solution is not feasible, making it ideal for problems like Hamiltonian cycles that require exhaustive search with constraints. Why Other Options are Wrong: a) DFS can traverse a graph but is not designed to find Hamiltonian cycles. b) Bellman-Ford is used for finding shortest paths, not cycles. d) Kruskal’s Algorithm is for Minimum Spanning Trees, not Hamiltonian cycles. e) Floyd-Warshall is for finding shortest paths between all pairs of nodes.