2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230260Aslam presents an algorithm he claims will count the number of perfect matchings in any incomplete bipartite graph with an algorithm in the function-computing version of NC, which is itself a subset of FP. Counting perfect matchings is known to be #P-complete; therefore if Aslam's algorithm is correct, then NP=P. However, we show that Aslam's algorithm does not correctly count the number of perfect matchings and offer an incomplete bipartite graph as a concrete counter-example.13 pages, 2 figures, a response to Aslam's paper (arXiv:0812.1385v11) and the underlying arguments (arXiv:0812.1385v9). Very minor content changes and typos fixedComputational ComplexityF.2.0; F.2.2text