The power to exclude the name of a tribe from the list of Scheduled Tribes lies with the Parliament. This means that if there is a need to remove a particular tribe from the list, it can only be done through a decision made by the Parliament.

Option 1, which suggests that the President has the power for such exclusion, is incorrect. The President does not have the authority to make decisions regarding the inclusion or exclusion of tribes from the Scheduled Tribe list.

Option 3, which mentions the National Commission for Scheduled Tribes, is also incorrect. While the Commission plays an important role in safeguarding the rights and welfare of Scheduled Tribes, it does not have the power to exclude or include tribes in the list.

Option 4, which suggests that the Union Council of Ministers has the power for exclusion, is also incorrect. The Council of Ministers does not have the authority to make such decisions.

Therefore, the correct answer is option 2, Parliament.