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The current Intet has evolved during the last decade to a global provider of diverse applications. However, the underlying structure of routing and addressing has not evolved in the same pace and is somewhat inflexible. How to provide diverse routing services, support emerging communication par-adigms based on limited and definite network resources has become an urgent challenge. This paper investigates the adaptive matching be-tween routing and application through network function decomposition and composition, and proposes a polymorphic routing model to sup-port diverse applications and emerging commu-nication paradigms. The model splits complex routing functions into its constituents, and derives customized routing mechanisms sup-porting various applications by composing the routing constituents. The derivation process is modeled as a Markov Decision Process (MDP), and a polymorphic derivation algorithm is also proposed to derive customized routing instances for diverse applications. The model enables the network to self-adjust routing services dynam-ically to adapt to the different requirements of applications, supports coexistence of multiple routing modes and communication paradigms, and provides a feasible solution for the network compatibility and evolvement. We describe the key design and demonstrate the feasibility of polymorphic derivation by simulations. We also present case studies that demonstrate key functionalities the polymorphic routing model enables.