  Defining nonlocality in a no-input closed quantum network scenario is a new
area of interest nowadays. Gisin, in[Entropy 21, 325 (2019)], proposed a
possible condition for non-tri-locality of the trivial no-input closed network
scenario, triangle network, by introducing a new kind of joint measurement
bases and a probability bound. In[npj Quantum Information (2020) 6:70] they
found a shred of numerical evidence in support of Gisin's probability bound.
Now based on that probability bound, we find the nature of the correlation in a
triangle network scenario. We here observe how far the probability lies from
that Gisin's bound with every possible combination of entangled and local pure
states distributed from three independent quantum sources. Here we use the
generalized Elegant Joint Measurements bases for each party and find that there
is a dependency of non-locality on the entanglement of these joint measurement
bases. We also check the probability bound for the polygon structure.
