<!-- ⚠️ If you do not respect this template, your issue will be closed --> <!-- ⚠️ Make sure to browse the opened and closed issues to confirm this idea does not exist. --> ### What is the expected enhancement? In #1385, we skipped the Python tests for `newman_weighted_closeness_centrality`. Before the 0.17 release, we need to test the function. Notice that the PR has Rust tests, so basing the tests from the version should be fine. We also need to test the behaviour when `weight_fn` is None.