Biased Leftist Trees and Modi ed Skip Lists1 1 Introduction
... following implementational drawbacks: 1. In programming languages such as Pascal, it isn't possible to have variable size nodes. As a result, each node has one data eld, and lmax pointer elds. So, the n element nodes have a total of n lmax pointer elds even though only about n=(1 ; p) pointers ...
... following implementational drawbacks: 1. In programming languages such as Pascal, it isn't possible to have variable size nodes. As a result, each node has one data eld, and lmax pointer elds. So, the n element nodes have a total of n lmax pointer elds even though only about n=(1 ; p) pointers ...
DATA AND FILE STRUCTURES
... Therefore ,in linked list ,every node contains two types of information: (1)The value of the node (2)A Pointer or Link to the next node in the list. The last node in the list contains a NULL pointer to indicate that it is the end or tail of list. The memory for a node is dynamically allocated when i ...
... Therefore ,in linked list ,every node contains two types of information: (1)The value of the node (2)A Pointer or Link to the next node in the list. The last node in the list contains a NULL pointer to indicate that it is the end or tail of list. The memory for a node is dynamically allocated when i ...
File Organization and Storage Structures
... allowed per parent. Depth : The maximum number of levels between the root node and a leaf node in the tree. ...
... allowed per parent. Depth : The maximum number of levels between the root node and a leaf node in the tree. ...
Overview of Storage and Indexing
... Many alternative access methods exist, each appropriate in some situation. Index is a collection of data entries plus a way to quickly find entries with given key values. If selection queries are frequent, building an index is important. ...
... Many alternative access methods exist, each appropriate in some situation. Index is a collection of data entries plus a way to quickly find entries with given key values. If selection queries are frequent, building an index is important. ...
Java is a simple, object-oriented, distributed, interpreted, robust
... Dynamic: actions that take place at the moment they are needed rather than in advance – antonym: static A dynamic program can – ask for more or less resources as it runs – use the most recent version of some code that is available Question: Why is being dynamic a good thing? – upgrades ...
... Dynamic: actions that take place at the moment they are needed rather than in advance – antonym: static A dynamic program can – ask for more or less resources as it runs – use the most recent version of some code that is available Question: Why is being dynamic a good thing? – upgrades ...
Scapegoat Trees
... the number of keys stored in this sub-tree including the key stored at z). brother(z) - the brother of node z; the other child of z’s parent or NIL. h(z) and h(T) - height of a node and a tree respectively. The height of a node is the length of the longest path from that node to a leaf. The height o ...
... the number of keys stored in this sub-tree including the key stored at z). brother(z) - the brother of node z; the other child of z’s parent or NIL. h(z) and h(T) - height of a node and a tree respectively. The height of a node is the length of the longest path from that node to a leaf. The height o ...
Spanning Trees
... Prim’s Algorithm Implementation • Assume adjacency list representation Initialize connection cost of each node to “inf” and “unmark” them Choose one node, say v and set cost[v] = 0 and prev[v] =0 While there are unmarked nodes Select the unmarked node u with minimum cost; mark it For each unmarked ...
... Prim’s Algorithm Implementation • Assume adjacency list representation Initialize connection cost of each node to “inf” and “unmark” them Choose one node, say v and set cost[v] = 0 and prev[v] =0 While there are unmarked nodes Select the unmarked node u with minimum cost; mark it For each unmarked ...
1 23 Data Structures on Event Graphs Bernard Chazelle & Wolfgang Mulzer Algorithmica
... connection has motivated and guided much of the research on self-organizing data structures and online algorithms in a Markov setting [1, 7–11, 15–18]. That body of work should be seen as part of a larger effort to understand algorithms that exploit the fact that input distributions often exhibit on ...
... connection has motivated and guided much of the research on self-organizing data structures and online algorithms in a Markov setting [1, 7–11, 15–18]. That body of work should be seen as part of a larger effort to understand algorithms that exploit the fact that input distributions often exhibit on ...
Recent developments in linear quadtree
... have the colour of the smallest of the active nodes which covers it, since the smallest node will have been the most recently inserted. Finding the smallest active node that contains a given pixel can be done by searching from the lowest level in the table upwards until the first non-empty entry is ...
... have the colour of the smallest of the active nodes which covers it, since the smallest node will have been the most recently inserted. Finding the smallest active node that contains a given pixel can be done by searching from the lowest level in the table upwards until the first non-empty entry is ...
Presentation for class
... Derive a log record from a NFS request Its prev field points to the last record Insert the new log record into DHash Sign a new log-head pointing to the new log record Insert the new log-head into DHash ...
... Derive a log record from a NFS request Its prev field points to the last record Insert the new log record into DHash Sign a new log-head pointing to the new log record Insert the new log-head into DHash ...
lecture 17
... • Union: link the tail of L1 to the head of L2, and make each element of L2 point to the head of L1: O(n). • A sequence of n Make-Set operations + n–1 Union operations will take n+Σi = Θ(n2) operations. • The amortized time for one operation is thus Θ(n). Data Structures, Spring 2004 © L. Joskowicz ...
... • Union: link the tail of L1 to the head of L2, and make each element of L2 point to the head of L1: O(n). • A sequence of n Make-Set operations + n–1 Union operations will take n+Σi = Θ(n2) operations. • The amortized time for one operation is thus Θ(n). Data Structures, Spring 2004 © L. Joskowicz ...
The Batched Predecessor Problem in External Memory
... Several data structures have been proposed that take advantage of the large block size to buffer insertions in order to amortize their cost [2, 7, 8]. In all of these, queries can also be buffered and lazily pushed down the tree if we allow the data structures to answer queries at a later time. How ...
... Several data structures have been proposed that take advantage of the large block size to buffer insertions in order to amortize their cost [2, 7, 8]. In all of these, queries can also be buffered and lazily pushed down the tree if we allow the data structures to answer queries at a later time. How ...
Abstract
... structure fully persistent at a worst-case space cost of O(1) per update step and an O(logm) worst-case time cost per access or update step. In this case, the versions of a fully persistent structure are only partially ordered whereas the various versions of a partially persistent structure have a n ...
... structure fully persistent at a worst-case space cost of O(1) per update step and an O(logm) worst-case time cost per access or update step. In this case, the versions of a fully persistent structure are only partially ordered whereas the various versions of a partially persistent structure have a n ...
Mutable Linked Lists - Rice University Campus Wiki
... In the notes on OO design, I introduce traditional mutable singlylinked lists before discussing doubly-linked lists. As we hae seen functional lists are singly linked. Mutable singly-linked lists are lighter weight (simpler and, in many cases, faster) than mutable doubly-linked lists. Allowing mutat ...
... In the notes on OO design, I introduce traditional mutable singlylinked lists before discussing doubly-linked lists. As we hae seen functional lists are singly linked. Mutable singly-linked lists are lighter weight (simpler and, in many cases, faster) than mutable doubly-linked lists. Allowing mutat ...
Skip list - Computer Science and Engineering
... gives the adversarial user a 50/50 chance of being correct upon guessing that all of the even numbered nodes (among the ones at level 1 or higher) are higher than level one. This is despite the property that he has a very low probability of guessing that a particular node is at level N for some inte ...
... gives the adversarial user a 50/50 chance of being correct upon guessing that all of the even numbered nodes (among the ones at level 1 or higher) are higher than level one. This is despite the property that he has a very low probability of guessing that a particular node is at level N for some inte ...
Week 5 Solutions 1.Which of the following is not correct with
... product function rather than write an add function. (May not necessarily be a good idea).What is the flaw (if any) with this implementation ? Digit2 Sum(digit a, digit b) { digit i; Digit2 sum; for (digit i = 0; i < b; i++) { sum = sum + Product(1, b); ...
... product function rather than write an add function. (May not necessarily be a good idea).What is the flaw (if any) with this implementation ? Digit2 Sum(digit a, digit b) { digit i; Digit2 sum; for (digit i = 0; i < b; i++) { sum = sum + Product(1, b); ...
B-tree
In computer science, a B-tree is a tree data structure that keeps data sorted and allows searches, sequential access, insertions, and deletions in logarithmic time. The B-tree is a generalization of a binary search tree in that a node can have more than two children (Comer 1979, p. 123). Unlike self-balancing binary search trees, the B-tree is optimized for systems that read and write large blocks of data. B-trees are a good example of a data structure for external memory. It is commonly used in databases and filesystems.