LISTS
... This is essentially a search process. In a singly-linked list, all items are accessed by beginning at the front or head of the list and going through until the required position is found. Retrieve does not need to know how the list is ordered (i.e. ascending, frequency, etc.) since the structure is ...
... This is essentially a search process. In a singly-linked list, all items are accessed by beginning at the front or head of the list and going through until the required position is found. Retrieve does not need to know how the list is ordered (i.e. ascending, frequency, etc.) since the structure is ...
Kinetic data structures
... What is the total # of events ? Events at r correpond to changes at the upper envelope, lets say there are O(n) Events at 1 correponds to change at the upper envelope of {b d} O(n/2) … In total we get O(nlog(n)) events efficient ...
... What is the total # of events ? Events at r correpond to changes at the upper envelope, lets say there are O(n) Events at 1 correponds to change at the upper envelope of {b d} O(n/2) … In total we get O(nlog(n)) events efficient ...
Lecture 9 Student Notes
... interval of the node’s lg N children. To perform the query ([xqmin , xqmax ], [yqmin , yqmax ]) we first find the least common ancestor of yqmin and yqmax in the tree. Then we perform the query ([xqmin , qqmax ], ≥ yqmin ) in the child node con taining yqmin , and the query ([xqmin , qqmax ], ≤ yqmin ...
... interval of the node’s lg N children. To perform the query ([xqmin , xqmax ], [yqmin , yqmax ]) we first find the least common ancestor of yqmin and yqmax in the tree. Then we perform the query ([xqmin , qqmax ], ≥ yqmin ) in the child node con taining yqmin , and the query ([xqmin , qqmax ], ≤ yqmin ...
Chapter 4: Algorithms and Data Structures
... is an explicit order on the children, by distinguishing them as “left” and “right” children. Also, if there is only one child of a node, it can be either a “left” or a “right” child. This can be formulated mathematically by adding another map ` : V (T ) \ {r} → {left, right}. (One could also define ...
... is an explicit order on the children, by distinguishing them as “left” and “right” children. Also, if there is only one child of a node, it can be either a “left” or a “right” child. This can be formulated mathematically by adding another map ` : V (T ) \ {r} → {left, right}. (One could also define ...
ppt
... 1. If cardinality of {Pi} is less than bucket size create leaf node containing point data. 2. Else a) Choose key coordinate (two options): i. If at level i key is the (i mod d) coordinate. ii. Find axis with maximal spread and choose this as the key (requires additional information held in internal ...
... 1. If cardinality of {Pi} is less than bucket size create leaf node containing point data. 2. Else a) Choose key coordinate (two options): i. If at level i key is the (i mod d) coordinate. ii. Find axis with maximal spread and choose this as the key (requires additional information held in internal ...
CS503: First Lecture, Fall 2008
... • Are excellent, fascinating, and very well studied data structures. – They achieve log(n) performance for insertion, deletion, and access. • The only linear operation is traversal, which is always going to be linear (the goal is to visit each node). ...
... • Are excellent, fascinating, and very well studied data structures. – They achieve log(n) performance for insertion, deletion, and access. • The only linear operation is traversal, which is always going to be linear (the goal is to visit each node). ...
20 - University of Arizona
... shorter encodings. Huffman coding is an integral part of the standards for high definition television (HDTV). The same approach to have the most frequently occurring characters in a text file be represented by shorter codes, allows a file to be compressed to consume less disk space and to take less ...
... shorter encodings. Huffman coding is an integral part of the standards for high definition television (HDTV). The same approach to have the most frequently occurring characters in a text file be represented by shorter codes, allows a file to be compressed to consume less disk space and to take less ...
AVL Tree - METU OCW
... • 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 ...
Advanced Data Structures
... OrderedDictionary /
OrderedMultiDictionary
A dictionary based on balanced search tree
Add / Find / Remove work in time O(log(N))
Provides fast .Range(from, to) operation
...
... OrderedDictionary
Randomized Binary Search Trees
... This moves z down a level and its smaller-priority child up a level. The choice of which child to rotate preserves the heap property everywhere except at z. When z becomes a leaf, chop it off. We sometimes also want to split a treap T into two treaps T< and T> along some pivot key π, so that all the ...
... This moves z down a level and its smaller-priority child up a level. The choice of which child to rotate preserves the heap property everywhere except at z. When z becomes a leaf, chop it off. We sometimes also want to split a treap T into two treaps T< and T> along some pivot key π, so that all the ...
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.