<![CDATA[Abstract – Stable matching is one of the topics in graph theory, as an application of weighted bipartite graph.On completion of the process of stable matching is used an algorithm is called Gale-Shapley algorithm. To find the stable matching in research, to analyzed stable matching in any weighted bipartite graph with and , any weighted complete bipartite graph with and , as well as also example of the application of stable matching using Gale-Shapley algorithm. Research purposes to determine stable matching in weighted bipartite graph using Gale-Shapley algoritm. The results of this research is using step by step Gale-Shapley algoritm untill get stable matching. Stable matching is only obtained on arbitrary any weighted bipartite graph with and any weighted complete bipartite graph with . In any weighted bipartite graph with and any weighted complete bipartite graph with , obtained maximum matching. Stable matching which has element of a set of large, can be solved with a program Python 3.5.1. Keywords – Matching, Graph, Gale-Shapley Algorithm]]>
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