Final answer:
BGP (Border Gateway Protocol) is the protocol categorized as an Exterior Gateway Protocol (EGP), which is used to manage routing information between autonomous systems over the internet.
Step-by-step explanation:
The protocol categorized as an Exterior Gateway Protocol (EGP) is BGP (Border Gateway Protocol). EGPs are used to manage routing information between autonomous systems, which are large networks operated by a single organization or entity, typically over the internet. RIP (Routing Information Protocol), IS-IS (Intermediate System to Intermediate System), and OSPF (Open Shortest Path First) are all Interior Gateway Protocols (IGPs), which are used within a single autonomous system. Among the options provided, only BGP is designed to perform routing between different autonomous systems, making it the correct answer.