A 1+O(1/N) approximation algorithm for TTP(2)

The traveling tournament problem is a well-known benchmark problem of the sports scheduling. We propose an approximation algorithm for the traveling tournament problem with the constraints such that both the number of consecutive home games and that of consecutive away games are at most two (called TTP(2)). The approximation ratio of the proposed algorithm is 1 + 24/n for n teams, which is the first 1 + O(1/n) approximation algorithm for TTP(2).