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Min-Max Heaps

Min-Max Heaps

Min-Max Heaps. A double-ended priority queue is a data structure that supports the following operations: inserting an element with an arbitrary key deleting an element with the largest key deleting an element with the smallest key A Min-Max Heap supports all of the above operations.

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2.67k views • 57 slides
Min-Max Heaps

Min-Max Heaps

Min-Max Heaps. A double-ended priority queue is a data structure that supports the following operations: inserting an element with an arbitrary key deleting an element with the largest key deleting an element with the smallest key A Min-Max Heap supports all of the above operations.

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812 views • 57 slides
Initializing A Max Heap

Initializing A Max Heap

1. 3. 2. 4. 5. 6. 7. 11. 8. 9. 7. 7. 8. 10. Initializing A Max Heap. input array = [-, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]. Initializing A Max Heap. 1. 3. 2. 4. 5. 6. 7. Start at rightmost array position that has a child. 11. 8. 9. 7. 7. 8. 10. Index is n/2.

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685 views • 57 slides
Initializing A Max Heap

Initializing A Max Heap

1. 3. 2. 4. 5. 6. 7. 11. 8. 9. 7. 7. 8. 10. Initializing A Max Heap. input array = [-, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]. Initializing A Max Heap. 1. 3. 2. 4. 5. 6. 7. Start at rightmost array position that has a child. 11. 8. 9. 7. 7. 8. 10. Index is n/2.

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524 views • 52 slides
CS235102 Data Structures

CS235102 Data Structures

CS235102 Data Structures. Chapter 9 Heap Structures. Min-Max Heap Deaps Leftist Trees Binomial Heaps Fibonacci Heaps. MIN-MAX Heaps (1/10). Definition A double-ended priority queue is a data structure that supports the following operations: Insert an element with arbitrary key

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1.37k views • 45 slides
Leftist Trees

Leftist Trees

Leftist Trees. Linked binary tree. Can do everything a heap can do and in the same asymptotic complexity. insert remove min (or max) initialize Can meld two leftist tree priority queues in O(log n) time. Extended Binary Trees.

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603 views • 34 slides
Leftist Trees

Leftist Trees

Leftist Trees. Linked binary tree. Can do everything a heap can do and in the same asymptotic complexity. insert remove min (or max) initialize Can meld two leftist tree priority queues in O(log n) time. Extended Binary Trees.

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377 views • 34 slides
Exercise problems: Union-Find & Height biased Leftist trees

Exercise problems: Union-Find & Height biased Leftist trees

Exercise problems: Union-Find & Height biased Leftist trees. Problem 11.61. Assume that we start with singleton sets and perform unions, using the height rule. Let t be a tree with p nodes created in this way. Prove that the height of t is at most ?log 2 p ? + 1. 7. 13. 4. 5. 8. 3.

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261 views • 12 slides

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