A Fast Contention-Friendly Binary Search Tree
... at each child requires finding its successor node s in one of its subtrees, then replacing n with s. Therefore precautions must be taken (such as locking all the nodes) in order to ensure any concurrent traversal taking place on the path from n to s does not violate linearizability. Instead of creat ...
... at each child requires finding its successor node s in one of its subtrees, then replacing n with s. Therefore precautions must be taken (such as locking all the nodes) in order to ensure any concurrent traversal taking place on the path from n to s does not violate linearizability. Instead of creat ...
Red-Black Trees - York College of Pennsylvania
... • Inserting as a red may not always satisfy the four properties insert(99) ...
... • Inserting as a red may not always satisfy the four properties insert(99) ...
Final - Philadelphia University Jordan
... (a) Show how the binary search tree looks like after each individual complete insertion (addElement operation) has taken place. (3 marks) (b) Show how the final binary search tree from question (a) will look like after removing 8 and 2. (3 marks) c) Consider the expression tree given below. (4 marks ...
... (a) Show how the binary search tree looks like after each individual complete insertion (addElement operation) has taken place. (3 marks) (b) Show how the final binary search tree from question (a) will look like after removing 8 and 2. (3 marks) c) Consider the expression tree given below. (4 marks ...
Review of Elementary Data Structures
... What is data structure? In computer science, a data structure is a particular way of storing and organizing data in a computer so that it can be used efficiently. A data structure is a way of organizing data that considers not only the items stored, but also their relationship to each other. Advanc ...
... What is data structure? In computer science, a data structure is a particular way of storing and organizing data in a computer so that it can be used efficiently. A data structure is a way of organizing data that considers not only the items stored, but also their relationship to each other. Advanc ...
a review paper on multidimentional data structures
... Decomposes a multidimensional space into hyperrectangles. A binary tree with both a dimension number and splitting value at each node [16].A recursive space partitioning tree. Partition along x and y axis in an alternating fashion. Each internal node stores the splitting node along x (or y). Used fo ...
... Decomposes a multidimensional space into hyperrectangles. A binary tree with both a dimension number and splitting value at each node [16].A recursive space partitioning tree. Partition along x and y axis in an alternating fashion. Each internal node stores the splitting node along x (or y). Used fo ...
Midterm Solutions
... Implement the symbol table using a separate-chaining (or linear-probing) hash table so that each insert/search takes O(1) time. Thus, the overall subroutine takes O(N ) time. To determine whether any 3 (or more lines) intersect at a point, run the previous subroutine N times, once for each line i. T ...
... Implement the symbol table using a separate-chaining (or linear-probing) hash table so that each insert/search takes O(1) time. Thus, the overall subroutine takes O(N ) time. To determine whether any 3 (or more lines) intersect at a point, run the previous subroutine N times, once for each line i. T ...
S(b)-Trees: An Optimal Balancing of Variable Length Keys
... deletions a substantial reconstruction of the tree may be required such that the algorithms become linear rather than logarithmic in time [18], [19]. So–called week balance conditions were developed in order to avoid inefficiency of insertions and deletions while preserving the asymptotic optimality ...
... deletions a substantial reconstruction of the tree may be required such that the algorithms become linear rather than logarithmic in time [18], [19]. So–called week balance conditions were developed in order to avoid inefficiency of insertions and deletions while preserving the asymptotic optimality ...
data structures used in spatial data mining - TKS
... • the area covered by a bounding rectangle • the margin of a rectangle: Minimization of the margin of a bounding rectangle prefers the squares. • the overlap between rectangles: Minimization of the overlap between rectangles decreases the number of paths that must be searched ...
... • the area covered by a bounding rectangle • the margin of a rectangle: Minimization of the margin of a bounding rectangle prefers the squares. • the overlap between rectangles: Minimization of the overlap between rectangles decreases the number of paths that must be searched ...
Link-cut Trees
... cost per operation for all operations. Link-Cut Trees are similar to Tango trees in that they use the notions of preferred child and preferred path. They also use splay trees for the internal representation. ...
... cost per operation for all operations. Link-Cut Trees are similar to Tango trees in that they use the notions of preferred child and preferred path. They also use splay trees for the internal representation. ...
Exercise
... Adding an element has no effect if the element is already in the set • Removing an element Attempting to remove an element that isn’t in the set is silently ignored • Containment testing (Does the set contain a given object?) • Listing all elements (in arbitrary order) We could use a linked list ...
... Adding an element has no effect if the element is already in the set • Removing an element Attempting to remove an element that isn’t in the set is silently ignored • Containment testing (Does the set contain a given object?) • Listing all elements (in arbitrary order) We could use a linked list ...
VIST: The Virtual Suffix Tree
... represent nodes in the suffix tree. Since the nodes are involed in 2 different trees, there is 2 kinds of ancestor-descendent relationships among the nodes. i ) D-Ancestorship e.g. (S,P) is a D-ancestor of (L,PS) ii ) S-Ancestorship e.g. (v1,PSN) is a S-ancestor of (L,PS) ...
... represent nodes in the suffix tree. Since the nodes are involed in 2 different trees, there is 2 kinds of ancestor-descendent relationships among the nodes. i ) D-Ancestorship e.g. (S,P) is a D-ancestor of (L,PS) ii ) S-Ancestorship e.g. (v1,PSN) is a S-ancestor of (L,PS) ...
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 ...
Data Structures
... A tree is a non-linear data structure in which items are arranged in a sorted sequence. It is used to represent hierarchical relationship existing among several data items. A binary tree is a tree data structure in which each node has at most two children. Typically the child nodes are called left a ...
... A tree is a non-linear data structure in which items are arranged in a sorted sequence. It is used to represent hierarchical relationship existing among several data items. A binary tree is a tree data structure in which each node has at most two children. Typically the child nodes are called left a ...
Classes of search algorithms
... Another important sub-class consists of algorithms for exploring the game tree of multiple-player games, such as chess or backgammon, whose nodes consist of all possible game situations that could result from the current situation. The goal in these problems is to find the move that provides the bes ...
... Another important sub-class consists of algorithms for exploring the game tree of multiple-player games, such as chess or backgammon, whose nodes consist of all possible game situations that could result from the current situation. The goal in these problems is to find the move that provides the bes ...
thm01 - persistent ds_1
... Oblivious: The data structure yields no knowledge about the sequence of operations that have been applied to it other than the final result of the operations. ...
... Oblivious: The data structure yields no knowledge about the sequence of operations that have been applied to it other than the final result of the operations. ...
Sec3
... 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 greater than, equal to, or less than that of the right subtree. CENG 213 Data Struc ...
... 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 greater than, equal to, or less than that of the right subtree. CENG 213 Data Struc ...
Binary search tree
In computer science, binary search trees (BST), sometimes called ordered or sorted binary trees, are a particular type of containers: data structures that store ""items"" (such as numbers, names and etc.) in memory. They allow fast lookup, addition and removal of items, and can be used to implement either dynamic sets of items, or lookup tables that allow finding an item by its key (e.g., finding the phone number of a person by name).Binary search trees keep their keys in sorted order, so that lookup and other operations can use the principle of binary search: when looking for a key in a tree (or a place to insert a new key), they traverse the tree from root to leaf, making comparisons to keys stored in the nodes of the tree and deciding, based on the comparison, to continue searching in the left or right subtrees. On average, this means that each comparison allows the operations to skip about half of the tree, so that each lookup, insertion or deletion takes time proportional to the logarithm of the number of items stored in the tree. This is much better than the linear time required to find items by key in an (unsorted) array, but slower than the corresponding operations on hash tables.They are a special case of the more general B-tree with order equal to two.