OSPF is a link-state routing protocol.

Best Path Algorithm, also known as Path-Vector Routing

Internetworking with Cisco and Microsoft Technologies pg. 297

If you are in net+ 3rd edition like me, I do not belive this protocol is mention which leads me to believe the answer we are looking for in the study guide is Distance Vector, since BGP is a distance vector protocol. It can only be one of two in this case afaik, distance vector or Link State. :)

It looks for the quickest way to the destination by continuing on the shortest path

Border Gateway Protocol (BGP) is a way to transfer data and information between different hosts such the Internet or routers. It is commonly used between Internet Service Providers (ISPs).

EIGRP