  The paper discusses a statistical problem related to testing for differences
between two sparse networks with community structures. The community-wise edge
probability matrices have entries of order $O(n^{-1}/\log n)$, where $n$
represents the size of the network. The authors propose a test statistic that
combines a method proposed by Wu et al. \cite{WuTwoSampleSBM2022} and a
resampling process. They derive the asymptotic null distribution of the test
statistic and provide a guarantee of asymptotic power against the alternative
hypothesis. To evaluate the performance of the proposed test statistic, the
authors conduct simulations and provide real data examples. The results
indicate that the proposed test statistic performs well in practice.
