Research Article
A Bayesian Inference Method Using Monte Carlo Sampling for Estimating the Number of Communities in Bipartite Networks
Table 1
Derivation of the relation of
and
.
| | Type of rearrangement | States | Probability of performing the move | Probability of selecting two distinct communities of the same type | Probability of selecting a specific node from or to distinct communities of the same type | Total probability π | | (using equation (23)) |
| | Type 1 with | | 1 − 1/(N − 1) | | | | | | | | | 1 − 1/(N − 1) | | | | | |
| | Type 1 with | | 1 − 1/(N − 1) | | 1 (now = 1) | | | | | | | 1/(N − 1) | | | | | |
| | Type 2 with | | 1/(N − 1) | | | | | | | | | 1 − 1/(N − 1) | | 1 (now = 1) | | | |
|
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