Motivation

In backtracking, Hamiltonian problem is plays great role. Adding this file of program in JS & test file increase it's diversity.

Examples

Pathfinding Algorithms: This is useful for finding specific paths in graphs, such as city routing problems.

Puzzle Solving: Problems like the Knight's Tour in chess or Traveling Salesman Problem can have solutions inspired by Hamiltonian paths.

Game Development:
In games where players need to visit locations without revisiting them (e.g., mazes or maps), this algorithm helps check the validity of paths.

Possible workarounds

Graph Theory Library:
This program could be part of a broader graph algorithms library. You can add this class alongside other algorithms like DFS, BFS, Dijkstra, etc.

Puzzle Solvers:
Hamiltonian paths are used in puzzles and games, and this program could be a part of a game engine that checks valid paths or graph traversal.

Educational Projects:
If your open-source project is educational (focused on algorithms and data structures), this could serve as a solid example of backtracking and graph traversal.

Additional information

No response