Amortized Complexity of Data Structures
Amortized Complexity of Data Structures
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Further, if k > 3, there are no apexless A;-turns in the sequence.
5. For any node x, the number of apex ^--turns with base x is at most j.
6. For any node x, the number of apex A;-turns with apex x is at most j.
Case 1. K = 1: The sequence repeatedly rotates the leftmost node to the root and deletes it.
Case 2. Fc = 2: Divide the left path tree into a lower left subpath comprising 2-'"^ - 1 nodes, a middle node, and an upper left subpath comprising 2-'"' - 1 nodes. Recursively perform a right ...2-turn-deletion sequence on the lower subpath. Modify each deletion in this sequence as follows: Perform a 2-turn on the subpath defined by the deleted node, say X, its parent (the middle node), and its grand parent; make x the root of the tree by successively rotating the edge joining it and its parent; delete x from the tree (this also deletes x from the lower subpath. ) Next, delete the middle node which is currently the root of the tree. Finally, recursively perform a right 2-turn-deletion sequence on the upper subpath (See Figure 3.
What to read after Amortized Complexity of Data Structures?
You can find similar books in the "Read Also" column, or choose other free books by R Rajamani Sundar to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Further, if k > 3, there are no apexless A;-turns in the sequence.
5. For any node x, the number of apex ^--turns with base x is at most j.
6. For any node x, the number of apex A;-turns with apex x is at most j.
Case 1. K = 1: The sequence repeatedly rotates the leftmost node to the root and deletes it.
Case 2. Fc = 2: Divide the left path tree into a lower left subpath comprising 2-'"^ - 1 nodes, a middle node, and an upper left subpath comprising 2-'"' - 1 nodes. Recursively perform a right ...2-turn-deletion sequence on the lower subpath. Modify each deletion in this sequence as follows: Perform a 2-turn on the subpath defined by the deleted node, say X, its parent (the middle node), and its grand parent; make x the root of the tree by successively rotating the edge joining it and its parent; delete x from the tree (this also deletes x from the lower subpath. ) Next, delete the middle node which is currently the root of the tree. Finally, recursively perform a right 2-turn-deletion sequence on the upper subpath (See Figure 3.
What to read after Amortized Complexity of Data Structures?
You can find similar books in the "Read Also" column, or choose other free books by R Rajamani Sundar to read onlineMoreLess
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