  In the literature on $K$-locality ($K\geq2$) networks, the local hidden
variables are strictly distributed in the specific observers rather than the
whole ones. Regarding genuine Bell locality, all local hidden variables, as
classical objects that allow for perfect cloning in classical physics, should
be cloned and then spread throughout the networks. More correlators are
involved in the proposed linear and non-linear Bell-type inequalities, where
their upper bounds are specified by the pre-determined output probability
distribution. As for the quantum version, the no-clone theorem limits the
broadcast of quantum correlations. To explore genuine Bell nonlocality in
variant particle distributions in the networks, the Pauli operators stabilizing
the two-qubit Bell states or multi-qubit Greenberger--Horne--Zeilinger states
(GHZ states) play an essential role in designing the proposed linear and
non-linear Bell tests and assigning the local incompatible measurements for the
spatially separated observers. We prove the maximal violations of the proposed
Bell-type inequalities quantum networks. In the end, how entanglement swapping
replaces the joint measurements in the Bell tests is demonstrated.
