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extract-max (or extract-min): returns the node of maximum value from a max heap [or minimum value from a min heap] after removing it from the heap (a.k.a., pop [5]) delete-max (or delete-min): removing the root node of a max heap (or min heap), respectively; replace: pop root and push a new key. This is more efficient than a pop followed by a ...
In a max-heap (min-heap), up-heapify is only required when the new key of element is greater (smaller) than the previous one because only the heap-property of the parent element might be violated. Assuming that the heap-property was valid between element i {\displaystyle i} and its children before the element swap, it can't be violated by a now ...
Each node in a min-max heap has a data member (usually called key) whose value is used to determine the order of the node in the min-max heap. The root element is the smallest element in the min-max heap. One of the two elements in the second level, which is a max (or odd) level, is the greatest element in the min-max heap; Let be any node in a ...
A heap is a tree data structure with ordered nodes where the min (or max) value is the root of the tree and all children are less than (or greater than) their parent nodes. Pages in category "Heaps (data structures)"
A mergeable heap supports the usual heap operations: [1] Make-Heap(), create an empty heap. Insert(H,x), insert an element x into the heap H. Min(H), return the minimum element, or Nil if no such element exists. Extract-Min(H), extract and return the minimum element, or Nil if no such element exists. And one more that distinguishes it: [1]
Using min heap priority queue in Prim's algorithm to find the minimum spanning tree of a connected and undirected graph, one can achieve a good running time. This min heap priority queue uses the min heap data structure which supports operations such as insert, minimum, extract-min, decrease-key. [23]
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create-heap(h): create an empty kinetic heap h; find-max(h, t) (or find-min): – return the max (or min for a min-heap) value stored in the heap h at the current virtual time t. insert(X, f X, t): – insert a key X into the kinetic heap at the current virtual time t, whose value changes as a continuous function f X (t) of time t.