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Integer Solution To A Graph-based Linear Programming …Integer Linear Programming Problems Are In General NP-hard. However, Some Integer Linear Programming Prob-lems Have Efﬁcient Optimization Properties By Which ILP Is Solved In Polynomial Time. In This Paper, We Study The ILP Problem Formulated As Max F ∑ N J X 1 Xj J Am X Nx B X G1 2 Xn Z N. We Propose 15th, 2024