2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155470We reduce the best known approximation ratio for finding a weighted matching of a graph using a one-pass semi-streaming algorithm from 5.828 to 5.585. The semi-streaming model forbids random access to the input and restricts the memory to O(n*polylog(n)) bits. It was introduced by Muthukrishnan in 2003 and is appropriate when dealing with massive graphs.12 pages, 2 figuresDiscrete MathematicsData Structures and AlgorithmsF.2.2; G.2.2Weighted Matching in the Semi-Streaming Modeltext