In a cartesian tree minimum value can be found by finding lowest common ancestor for the extreme elements. consider 11,9,19,16 the lowest element is 9 and is a lowest common ancestor for 11 and 16. and by applying few techniques cartesian tree can be used to even find lowest common ancestors efficiently.
these can be done in constant time. tree can be constructed in linear time (this is the most efficient time for any tree construction) and takes space as many elements are there.
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Balanced binary tree with n items allows the lookup of an item in ____ worst-case time.
They are a type of self balancing trees which are mostly used in storing key-value pairs, which is mostly used in functional programming languages. they are very useful to maintain big set of ordered objects.
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How many orders of traversal are applicable to a binary tree (In General)?
The property of AVL tree is it is height balanced tree with difference of atmost 1 between left and right subtrees. All AVL trees are binary search tree.
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Which of the following is incorrect with respect to binary trees?
ALet T be a binary tree. For every k ≥ 0, there are no more than 2k nodes in level k
BLet T be a binary tree with λ levels. Then T has no more than 2λ – 1 nodes
CLet T be a binary tree with N nodes. Then the number of levels is at least ceil(log (N + 1))
DLet T be a binary tree with N nodes. Then the number of levels is at least floor(log (N + 1))
In case of sparse trees (where one node per level in worst cases), the array size (2h)-1 where h is height but only h indexes will be filled and (2h)-1-h nodes will be left unused leading to space wastage.
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Which of the following data structures can be efficiently implemented using height balanced binary search tree?
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