Sec3
... • Deletion of a node x from an AVL tree requires the same basic ideas, including single and double rotations, that are used for insertion. • With each node of the AVL tree is associated a balance factor that is left high, equal or right high according, respectively, as the left subtree has height gr ...
... • Deletion of a node x from an AVL tree requires the same basic ideas, including single and double rotations, that are used for insertion. • With each node of the AVL tree is associated a balance factor that is left high, equal or right high according, respectively, as the left subtree has height gr ...
Cache-Oblivious Priority Queue and Graph Algorithm
... – In the worst-case, a query can visit all nodes in the tree even when the output size is zero • R-tree is a generalized kdB-tree, so can we achieve O( N / B T / B) ? • Priority R-Tree [Arge, de Berg, Haverkort, and Yi, SIGMOD04] – The first R-tree variant that answers a query by visiting O( N / B ...
... – In the worst-case, a query can visit all nodes in the tree even when the output size is zero • R-tree is a generalized kdB-tree, so can we achieve O( N / B T / B) ? • Priority R-Tree [Arge, de Berg, Haverkort, and Yi, SIGMOD04] – The first R-tree variant that answers a query by visiting O( N / B ...
CS162 - Topic #7
... Sometimes we also have a tail pointer. This is another pointer to a node -- but keeps track of the end of the list. This is useful if you are commonly adding data to the end ...
... Sometimes we also have a tail pointer. This is another pointer to a node -- but keeps track of the end of the list. This is useful if you are commonly adding data to the end ...
Left-leaning Red-Black Trees
... page. Java aficionados will see that the code uses generics to support, in a type-safe manner, arbitrary types for client keys and values. Otherwise, the code is standard and easily translated to other languages or adapted to specific applications where generic types may not be needed. In the presen ...
... page. Java aficionados will see that the code uses generics to support, in a type-safe manner, arbitrary types for client keys and values. Otherwise, the code is standard and easily translated to other languages or adapted to specific applications where generic types may not be needed. In the presen ...
Data structures - Delivery guide
... Tree and binary tree Queues and stacks are linear lists and so each data item only points to the one before or after it. They are in order, but they do not imply there is a relationship between the items A tree data structure is used to represent relationships between items. Tree A tree or ‘general ...
... Tree and binary tree Queues and stacks are linear lists and so each data item only points to the one before or after it. They are in order, but they do not imply there is a relationship between the items A tree data structure is used to represent relationships between items. Tree A tree or ‘general ...
ppt - York University
... Abstract Data Types Restricted Data Structure: Some times we limit what operation can be done • for efficiency • understanding Stack: A list, but elements can only be pushed onto and popped from the top. Queue: A list, but elements can only be added at the end and removed from the front. ...
... Abstract Data Types Restricted Data Structure: Some times we limit what operation can be done • for efficiency • understanding Stack: A list, but elements can only be pushed onto and popped from the top. Queue: A list, but elements can only be added at the end and removed from the front. ...
Algorithm Cost
... Size of Input • In analyzing rate of growth based upon size of input, we’ll use a variable – For each factor in the size, use a new variable – N is most common… Examples: – A linked list of N elements – A 2D array of N x M elements – A Binary Search Tree of P elements ...
... Size of Input • In analyzing rate of growth based upon size of input, we’ll use a variable – For each factor in the size, use a new variable – N is most common… Examples: – A linked list of N elements – A 2D array of N x M elements – A Binary Search Tree of P elements ...
On (Dynamic) Range Minimum Queries in External Memory
... and algorithms, for example in data compression, text indexing, and graph algorithms. For more applications, we refer the interested reader to a recent article [8], which also contains optimal solutions for one-dimensional static RMQs in the RAM model. Research on RMQs remains a hot topic, see for e ...
... and algorithms, for example in data compression, text indexing, and graph algorithms. For more applications, we refer the interested reader to a recent article [8], which also contains optimal solutions for one-dimensional static RMQs in the RAM model. Research on RMQs remains a hot topic, see for e ...
Sorting Algorithms
... filled, except possibly the bottom level. At this level, it is filled from left to right. It satisfies the heap-order property: The data item stored in each node is greater than or equal to the data items stored in its children. ...
... filled, except possibly the bottom level. At this level, it is filled from left to right. It satisfies the heap-order property: The data item stored in each node is greater than or equal to the data items stored in its children. ...
Purely Functional Worst Case Constant Time Catenable Sorted Lists
... the fact that the stepchildren cannot cause any splits on the spine. The result of this discussion is that the tree-collections move only once the spine from root to leaf. The following property exploits this fact and relates the virtual rank vr(x) of a tree-collection x with the corresponding point ...
... the fact that the stepchildren cannot cause any splits on the spine. The result of this discussion is that the tree-collections move only once the spine from root to leaf. The following property exploits this fact and relates the virtual rank vr(x) of a tree-collection x with the corresponding point ...
lecture1428550942
... Our left rotation has completed, and we're stuck in the same situation. If we were to do a single right rotation in this situation, we would be right back where we started. What's causing this?The answer is that this is a result of the right subtree having a negative balance. In other words,because ...
... Our left rotation has completed, and we're stuck in the same situation. If we were to do a single right rotation in this situation, we would be right back where we started. What's causing this?The answer is that this is a result of the right subtree having a negative balance. In other words,because ...
van Emde Boas trees. - Department of Computer Science
... getting the name of the class containing some given element. If one wants an extra operation for splitting a class into two classes, it is necessary to define more precisely what such a split operation should do. A class with k elements may be split in 2k − 2 different ways. For a survey of differen ...
... getting the name of the class containing some given element. If one wants an extra operation for splitting a class into two classes, it is necessary to define more precisely what such a split operation should do. A class with k elements may be split in 2k − 2 different ways. For a survey of differen ...
Quadtree
A quadtree is a tree data structure in which each internal node has exactly four children. Quadtrees are most often used to partition a two-dimensional space by recursively subdividing it into four quadrants or regions. The regions may be square or rectangular, or may have arbitrary shapes. This data structure was named a quadtree by Raphael Finkel and J.L. Bentley in 1974. A similar partitioning is also known as a Q-tree. All forms of quadtrees share some common features: They decompose space into adaptable cells Each cell (or bucket) has a maximum capacity. When maximum capacity is reached, the bucket splits The tree directory follows the spatial decomposition of the quadtree.