EIGRP (Enhanced Interior Gateway Routing Protocol) is a classless, Cisco proprietary hybrid routing protocol that supports multiple protocols and uses an autonomous system numbering system. It features a reliable transport protocol (RTP) for neighbor discovery and table synchronization, and utilizes the Diffusing Update Algorithm (DUAL) for efficient routing and recovery. EIGRP maintains three tables for neighbor relationships, link-state information, and active routes, facilitating dynamic routing without traditional loop control methods.