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The merge operation takes two Min HBLTs as input and returns a Min HBLT containing all the nodes in the original Min HBLTs put together. If either of A or B is empty, the merge returns the other one. In case of Min HBLTs, assume we have two trees rooted at A and B where A.key ≤ {\displaystyle \leq } B.key. Otherwise we can swap A and B so ...
Only two conditions must be satisfied: The general heap order must be enforced; Every operation (add, remove_min, merge) on two skew heaps must be done using a special skew heap merge. A skew heap is a self-adjusting form of a leftist heap which attempts to maintain balance by unconditionally swapping all nodes in the merge path when merging ...
Leftist tree; Pairing heap; Skew heap; A more complete list with performance comparisons can be found at Heap (data structure) § Comparison of theoretic bounds for variants. In most mergeable heap structures, merging is the fundamental operation on which others are based.
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Example of a binary max-heap with node keys being integers between 1 and 100. In computer science, a heap is a tree-based data structure that satisfies the heap property: In a max heap, for any given node C, if P is the parent node of C, then the key (the value) of P is greater than or equal to the key of C.
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delete-min: remove the root and do repeated melds of its subtrees until one tree remains. Various merging strategies are employed. The analysis of pairing heaps' time complexity was initially inspired by that of splay trees. [1] The amortized time per delete-min is O(log n), and the operations find-min, meld, and insert run in O(1) time. [3]