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  Largest Independent Set of a Tree using Dynamic Programming Do you remember some problem that appeared easy when it was first seen, but proved rather complicated? The Largest Independent Set of a Tree is the kind of challenge enjoyed by many computer scientists and programmers. Here, elegant tree structure meets algorithmic thinking. Imagine you are given the task to select the maximum number of tree nodes, but with a restriction – two of the selected nodes cannot be adjacent. It becomes an issue about an independent set, and an efficient solution for this problem can be an important step toward optimization of other real-world applications, from network layout to resource assignment. But how can you approach such a problem when the tree may have thousands-or even millions-of nodes? We shall solve the mystery of finding the Largest Independent Set of a Tree. We will be using two powerful techniques: Dynamic Programming and Recursion . These methods make the seemingly intract...