  Bell inequality can provide a useful witness for device-independent
applications with quantum (or post-quantum) eavesdroppers. This feature holds
only for single entangled systems. Our goal is to explore device-independent
model for quantum networks. We firstly propose a Bell inequality to verify the
genuinely multipartite nonlocality of connected quantum networks including
cyclic networks and universal quantum computational resources for
measurement-based computation model. This is further used to construct new
monogamy relation in a fully device-independent model with multisource quantum
resources. It is finally applied for multiparty quantum key distribution, blind
quantum computation, and quantum secret sharing. The present model can inspire
various large-scale applications on quantum networks in a device-independent
manner.
