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Consider an n-node complete binary tree T, where n=2^d - 1 for some d. Each node v of T is labeled with a real number x_v. You may assume that the real numbers labeling the nodes are all distinct. A node v of T is a local minimum if the label x_v is less than the label x_w for all nodes w that are joined to v by an edge.
You are given such a complete binary tree T, but the labeling is only specified in the following implicit way: for each node v, you can determine the value x_v by probing the node v. Show how to find a local minimum of T using only O(log n) probes to the nodes of T.
Give an algorithm that takes an n-node path G with weightsand returns an independent set of maximum total weight. The runningtime should be polynomial in n, independent of the values of theweights
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Find average in binary tree using preorder traversal example for the function - Provide answer this question with example.
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Write an algorithm to add and multiply two large integers, which cannot be represented by built-in types. How do you represent a stack and a queue by using one-dimensional array?
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To assess the resiliency of typical network access switch block using Hot Standby Router Protocol (HSRP ) along with Spanning Tree Protocol and VLANs .
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