The Primal-dual Method for Approximation Algorithms and Its Application to Network Design Problems
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چکیده
In the last four decades, combinatorial optimization has been strongly influenced by linear programming. With the mathematical and algorithmic understanding of linear programs came a whole host of ideas and tools that were then applied to combinatorial optimization. Many of these ideas and tools are still in use today, and form the bedrock of our understanding of combinatorial optimization. One of these tools is the primal-dual method. It was proposed by Dantzig, Ford, and Fulkerson [DFF56] as another means of solving linear programs. Ironically, their inspiration came from combinatorial optimization. In the early 1930s, Egerváry [Ege31] proved
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تاریخ انتشار 1995