The document presents an algorithm to optimize Hamilton path tournament scheduling by minimizing total transportation costs. It describes how all possible pair combinations for a round robin tournament are generated using a Hamilton path. For each combination, the transportation cost of getting between stadiums for each team over the tournament is calculated. The combination with the lowest total cost is considered optimized. The algorithm works by calculating costs for all combinations and selecting the one with the minimum cost. This approach finds a schedule where teams travel less, reducing expenses and potentially improving performance.