Public goods networks arouse conflict between those who already benefit from the project and those who merely pay its costs. Thus, it may seem that it is difficult for pork-barrel politicians to target these public goods for logrolling with other districts. The purpose of this paper is to show that logrolling is still possible for such pork-barrel politicians by proper agenda setting. In order to demonstrate this, I model the centralized decision-making process as a sequential vote among representatives from the districts. I assume that the districts are better off if and only if the public good "connects" them to the network. I find that the universal provision of public goods is enabled by proper agenda setting, even in cases where their costs exceed the benefits. This implies that public goods can be under or overprovided, and hence, the centralized decision-making process fails to internalize externalities.