We implement and test the performances of several approximation algorithms for computing the minimum dominating set of a graph. These algorithms are the standard greedy algorithm. the recent Linear programming (LP) rounding algorithms and a hybrid algorithm that we design by combining the greedy and LP rounding algorithms. Over the range of test data. https://safeersappliancers.shop/product-category/lg-gsl460icev-american-style-fridge-freezer-dark-graphite/