TUKE-08-SRBD-02-Fyzicke-organizacie
... • Because of the insertion and deletion problem, most multi-level indexes use B-tree or B+-tree data structures, which leave space in each tree node (disk block) to allow for new index entries • These data structures are variations of search trees that allow efficient insertion and deletion of new s ...
... • Because of the insertion and deletion problem, most multi-level indexes use B-tree or B+-tree data structures, which leave space in each tree node (disk block) to allow for new index entries • These data structures are variations of search trees that allow efficient insertion and deletion of new s ...
part4-trees
... • The height balancing adds no more than a constant factor to the speed of insertion Con: • Space consumed by height field in each node • Slower than ordinary BST on random data Can we guarantee O(log N) performance with less overhead? ...
... • The height balancing adds no more than a constant factor to the speed of insertion Con: • Space consumed by height field in each node • Slower than ordinary BST on random data Can we guarantee O(log N) performance with less overhead? ...
Network Simplex Method I
... solution, then it has an optimal solution represented by a basis structure (T,L,U). Proof: Let x be an optimal solution for which the set F(x) of free arcs is minimal. If F(x) contains an undirected cycle C, then let W be a directed cycle in G(x) corresponding to C which contains the reversal of an ...
... solution, then it has an optimal solution represented by a basis structure (T,L,U). Proof: Let x be an optimal solution for which the set F(x) of free arcs is minimal. If F(x) contains an undirected cycle C, then let W be a directed cycle in G(x) corresponding to C which contains the reversal of an ...
Midterm Solutions
... P. The weighted quick-union data type achieves logarithmic time per union,find, and connected operation. P. In Java, hashCode() returns a 32-bit integer, so there are only 232 possible values. Since there are infinitely many different strings, an infinite number of strings share the same hash code. ...
... P. The weighted quick-union data type achieves logarithmic time per union,find, and connected operation. P. In Java, hashCode() returns a 32-bit integer, so there are only 232 possible values. Since there are infinitely many different strings, an infinite number of strings share the same hash code. ...
A Locality-Preserving Cache-Oblivious Dynamic Dictionary
... • Lower and upper bounds on number of keys per node (minimum degree t2) – Every node (other than root) must have at least t-1 keys thus t children – Every node can contain at most 2t-1 keys thus 2t children ...
... • Lower and upper bounds on number of keys per node (minimum degree t2) – Every node (other than root) must have at least t-1 keys thus t children – Every node can contain at most 2t-1 keys thus 2t children ...
Encoding Nearest Larger Values
... distinct chains with respect to answering nearest larger value queries, breaking ties according to rule I. Proof. Consider a chain with ci deleted nodes, {v1 , ..., vci }, where vci +1 is the terminal. Clearly, v1 represents the maximum element in the chain, and either r(vj ) = e1 (vj ) or r(vj ) = ...
... distinct chains with respect to answering nearest larger value queries, breaking ties according to rule I. Proof. Consider a chain with ci deleted nodes, {v1 , ..., vci }, where vci +1 is the terminal. Clearly, v1 represents the maximum element in the chain, and either r(vj ) = e1 (vj ) or r(vj ) = ...
PPT
... To store trees efficiently, we hang the tree from a root node. (In principle, any node can be selected for the root.) ...
... To store trees efficiently, we hang the tree from a root node. (In principle, any node can be selected for the root.) ...
CS-184: Computer Graphics
... Many geometric queries are expensive to answer precisely The best way to reduce the cost is with fast, approximate queries that eliminate most objects quickly Trees with a containment property allow us to do this The cell of a parent completely contains all the cells of its children If a query fails ...
... Many geometric queries are expensive to answer precisely The best way to reduce the cost is with fast, approximate queries that eliminate most objects quickly Trees with a containment property allow us to do this The cell of a parent completely contains all the cells of its children If a query fails ...
Chapter 5-2 - Computer Science
... A full binary tree (as seen in the middle figure below) occurs when all internal nodes have two children and all leaves are at the same depth. A complete binary tree (as seen in the right figure below) is an almost-full binary tree; the bottom level of the tree is filling from left to right but may ...
... A full binary tree (as seen in the middle figure below) occurs when all internal nodes have two children and all leaves are at the same depth. A complete binary tree (as seen in the right figure below) is an almost-full binary tree; the bottom level of the tree is filling from left to right but may ...
Week 10 Lab File
... ii. What would the runtime of insert() if we tried to insert a new element? (g) Imagine we are trying to insert a set of numbers {1, 2, 3, … N} into a binary search tree. Suppose we insert the numbers in the following order: N/2, N/4, 3N/4, N/8, 3N/8, 5N/8, 7N/8, N/16, 3N/16, 5N/16, 7N/16, 9N/16 etc ...
... ii. What would the runtime of insert() if we tried to insert a new element? (g) Imagine we are trying to insert a set of numbers {1, 2, 3, … N} into a binary search tree. Suppose we insert the numbers in the following order: N/2, N/4, 3N/4, N/8, 3N/8, 5N/8, 7N/8, N/16, 3N/16, 5N/16, 7N/16, 9N/16 etc ...
Complete Binary Trees
... The fifth node must go in the next available spot in this level, which is the right child of Arkansas. By the way, there is also an interesting story about Idaho. Apparently congress decreed that the border between Idaho and Montana was to be the continental divide. So the surveyers started at Yello ...
... The fifth node must go in the next available spot in this level, which is the right child of Arkansas. By the way, there is also an interesting story about Idaho. Apparently congress decreed that the border between Idaho and Montana was to be the continental divide. So the surveyers started at Yello ...
Chapter14
... A single-level index is an auxiliary file that makes it more efficient to search for a record in the data file. The index is usually specified on one field of the file (although it could be specified on several fields) One form of an index is a file of entries, which ...
... A single-level index is an auxiliary file that makes it more efficient to search for a record in the data file. The index is usually specified on one field of the file (although it could be specified on several fields) One form of an index is a file of entries
05_1_Lecture
... • We can introduce additional edges to the tree to get this order. • The Euler tour technique converts a tree into a list by adding additional edges. ...
... • We can introduce additional edges to the tree to get this order. • The Euler tour technique converts a tree into a list by adding additional edges. ...
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.