On Hardness of Several String Indexing Problems
... query processing, where p1 = |P1 | and p2 = |P2 | and k is the output size1 . Later Cohen and Porat [7] presented a space efficient structure of O(n log n)√ space, but with a higher query time of O(p1 + p2 + nk log n log2 n). The space and the query √ time of was improved by Hon et al. [11] to O(n) ...
... query processing, where p1 = |P1 | and p2 = |P2 | and k is the output size1 . Later Cohen and Porat [7] presented a space efficient structure of O(n log n)√ space, but with a higher query time of O(p1 + p2 + nk log n log2 n). The space and the query √ time of was improved by Hon et al. [11] to O(n) ...
Array implementation of binary trees
... Lists in which the order of objects in the list is changed based on searches which are done. Place the objects that are being searched at the head, or closer to the head of the list. This can speed-up the search ...
... Lists in which the order of objects in the list is changed based on searches which are done. Place the objects that are being searched at the head, or closer to the head of the list. This can speed-up the search ...
1 slide per sheet - Department of Computer Science
... each item holds a relative position that is based upon some underlying characteristic of the item ...
... each item holds a relative position that is based upon some underlying characteristic of the item ...
Data Structures through C 1.1 Algorithm Specification
... The linked list is very different type of collection from an array. Using such lists, we can store collections of information limited only by the total amount of memory that the OS will allow us to use. Further more, there is no need to specify our needs in advance. The linked list is very flexible ...
... The linked list is very different type of collection from an array. Using such lists, we can store collections of information limited only by the total amount of memory that the OS will allow us to use. Further more, there is no need to specify our needs in advance. The linked list is very flexible ...
ppt
... A doubly linked list (Fig. 20.11) allows traversals both forward and backward. Such a list is often implemented with two “start pointers”—one that points to the first element of the list to allow front-to-back traversal of the list and one that points to the last element to allow back-to-front trave ...
... A doubly linked list (Fig. 20.11) allows traversals both forward and backward. Such a list is often implemented with two “start pointers”—one that points to the first element of the list to allow front-to-back traversal of the list and one that points to the last element to allow back-to-front trave ...
Data and Data Structures
... In summary, the following terms were introduced in this section. data item data value, or simply value meaning representation data type association (between values) interpretation (both of values and of associations) data structure The student should review these terms, their meaning ...
... In summary, the following terms were introduced in this section. data item data value, or simply value meaning representation data type association (between values) interpretation (both of values and of associations) data structure The student should review these terms, their meaning ...
chap06
... In Figure 6.4, the first node contains a single field, number, and a link. The second is more typical. It contains three data fields, a name, id, and grade points (grdPts), and a link. The third is recommended. The fields are defined in their own structure, which is then put into the definition of ...
... In Figure 6.4, the first node contains a single field, number, and a link. The second is more typical. It contains three data fields, a name, id, and grade points (grdPts), and a link. The third is recommended. The fields are defined in their own structure, which is then put into the definition of ...
Introduction to Data Structure
... We often speak of "extra" memory needed, not counting the memory needed to store the input itself. Again, we use natural (but fixed-length) units to measure this. ...
... We often speak of "extra" memory needed, not counting the memory needed to store the input itself. Again, we use natural (but fixed-length) units to measure this. ...
Data Structure and Algorithm Analysis part 4
... Analogously, we can declare a (max) heap, which enables us to efficiently find and remove the maximum element, by changing the heap order property. Thus, a priority queue can be used to find either a minimum or a maximum, but this needs to be decided ahead of time. ...
... Analogously, we can declare a (max) heap, which enables us to efficiently find and remove the maximum element, by changing the heap order property. Thus, a priority queue can be used to find either a minimum or a maximum, but this needs to be decided ahead of time. ...
On range searching with semialgebraic sets
... Then q~ is called an embeddino of range spaces if, for each 7 ~ F, there is a t r e Y~ such that 7 = q~-1(a) 9 In other words, for every 7 e F , a a eY. exists whose intersection with q~(X), the image of X in Y, is precisely tp(y). We let ~0"(7 ) denote some a with this property (in general, m o r e ...
... Then q~ is called an embeddino of range spaces if, for each 7 ~ F, there is a t r e Y~ such that 7 = q~-1(a) 9 In other words, for every 7 e F , a a eY. exists whose intersection with q~(X), the image of X in Y, is precisely tp(y). We let ~0"(7 ) denote some a with this property (in general, m o r e ...
Chapter 24
... The array is dynamically created. If the capacity of the array is exceeded, create a new larger array and copy all the elements from the current array to the new array. Using linked list. The other approach is to use a linked structure. A linked structure consists of nodes. Each node is dynamically ...
... The array is dynamically created. If the capacity of the array is exceeded, create a new larger array and copy all the elements from the current array to the new array. Using linked list. The other approach is to use a linked structure. A linked structure consists of nodes. Each node is dynamically ...
the lecture notes from the Foundations of Computer Science module
... The specification should formalize the crucial details of the problem that the algorithm is trying to solve. Sometimes that will be based on a particular representation of the associated data, sometimes it will be presented more abstractly. Typically, it will have to specify how the inputs and outpu ...
... The specification should formalize the crucial details of the problem that the algorithm is trying to solve. Sometimes that will be based on a particular representation of the associated data, sometimes it will be presented more abstractly. Typically, it will have to specify how the inputs and outpu ...
The Role of Lazy Evaluation in Amortized Data Structures
... which data structures are designed as abstract data types whose behavior, including time complexity, is specified in isolation. Instead, we develop ad hoc, but pragmatically useful, techniques for reasoning about the time complexity of lazy amortized data structures without regard to the contexts in ...
... which data structures are designed as abstract data types whose behavior, including time complexity, is specified in isolation. Instead, we develop ad hoc, but pragmatically useful, techniques for reasoning about the time complexity of lazy amortized data structures without regard to the contexts in ...
kd Range Search with Binary Patricia Tries
... an extensive experimental study of the practical performance of the Patricia trie using uniform randomly generated spatial data and place names selected from the Canadian toponymy. We compare the performance of the Patricia trie to the k-d tree, TST and the naive method. Overall, our experiments sho ...
... an extensive experimental study of the practical performance of the Patricia trie using uniform randomly generated spatial data and place names selected from the Canadian toponymy. We compare the performance of the Patricia trie to the k-d tree, TST and the naive method. Overall, our experiments sho ...
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.