Top tree data structure is used to maintain a dynamic forest using link or cut operations. Top tree is a type of data structure which is based on unrooted dynamic binary tree and is used to solve path related problems
A cluster containing only single edge is known as Edge cluster. So there are in total 1 edge present in edge cluster. Cluster in data structure is defined as the subtree that is connect having maximum of 2 vertices known as Boundary Vertices.
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Two balanced binary trees are given with m and n elements respectively. They can be merged into a balanced binary search tree in ____ time.
First we store the in-order traversals of both the trees in two separate arrays and then we can merge these sorted sequences in O(m+n) time. And then we construct the balanced tree from this final sorted array.
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What is the longest length path for a node x in random binary search tree for the insertion process?
Although it is difficult to find the length of the longest path in randomized binary search tree, but it has been found that the longest length is around 4.311 log x.
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A binary tree is a rooted tree but not an ordered tree.
The worst case performance of binary tree sort is O(n log n) when it is implemented using a self balancing binary search tree. Self balancing binary search trees perform transformations to balance the tree, which caused balancing overhead. Due to this overhead, binary tree sort is slower than merger sort.
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