Data Structures Name:___________________________
... 1. A very “non-intuitive”, but powerful array-based approach to implement an priority queue is called a heap. An array is used to store a complete binary tree (a full tree with any additional leaves as far left as possible) with the items being arranges by heap-order property, i.e., each node is les ...
... 1. A very “non-intuitive”, but powerful array-based approach to implement an priority queue is called a heap. An array is used to store a complete binary tree (a full tree with any additional leaves as far left as possible) with the items being arranges by heap-order property, i.e., each node is les ...
Binary Trees 1
... The general binary tree shown in the previous chapter is not terribly useful in practice. The chief use of binary trees is for providing rapid access to data (indexing, if you will) and the general binary tree does not have good performance. Suppose that we wish to store data elements that contain a ...
... The general binary tree shown in the previous chapter is not terribly useful in practice. The chief use of binary trees is for providing rapid access to data (indexing, if you will) and the general binary tree does not have good performance. Suppose that we wish to store data elements that contain a ...
Interfaces Meeting Software Specifications
... - hasItem(x): an operation that returns true if and only if the set contains the element x Notice that none of the above operations make any assumptions about how the Set is implemented. This is important – an ADT does not specify how it is implemented, but only the ...
... - hasItem(x): an operation that returns true if and only if the set contains the element x Notice that none of the above operations make any assumptions about how the Set is implemented. This is important – an ADT does not specify how it is implemented, but only the ...
ch02
... Tree implementation • Binary trees: internal representation may be array or links • General trees: array too unwieldy, just do links ...
... Tree implementation • Binary trees: internal representation may be array or links • General trees: array too unwieldy, just do links ...
pdf 20a
... • The two children are called the left child and right child • The subtrees belonging to those children are called the left subtree and the right subtree ...
... • The two children are called the left child and right child • The subtrees belonging to those children are called the left subtree and the right subtree ...
heap
... 3: The elements of each B-tree node are stored in a partially filled array, sorted from the smallest element (at index 0) to the largest element (at the final position of the array) Rule 4: The number of subtrees below node depends on how many elements are in a node: always one more ...
... 3: The elements of each B-tree node are stored in a partially filled array, sorted from the smallest element (at index 0) to the largest element (at the final position of the array) Rule 4: The number of subtrees below node depends on how many elements are in a node: always one more ...
Trees and Binary Search Trees Dynamic data structures Tree: Tree:
... will be a leaf (case 1), or have only a right subtree (case 2) --cannot have left subtree, or it’s not the minimum ...
... will be a leaf (case 1), or have only a right subtree (case 2) --cannot have left subtree, or it’s not the minimum ...
PowerPoint
... pointer as the original entry (For the b-a-t entry that causes the split) Set the 2nd entry created from the entry for j to point to z ...
... pointer as the original entry (For the b-a-t entry that causes the split) Set the 2nd entry created from the entry for j to point to z ...
2 Buffer Trees
... • Finally, if any of the child buffers is full (contains more than M items), we empty it recursively. Ignoring the recursive calls, emptying a buffer containing X items requires O(m + X/B) time. Under normal circumstances, we have X > M , so the total buffer-emptying time is O(X/B); if we amortize t ...
... • Finally, if any of the child buffers is full (contains more than M items), we empty it recursively. Ignoring the recursive calls, emptying a buffer containing X items requires O(m + X/B) time. Under normal circumstances, we have X > M , so the total buffer-emptying time is O(X/B); if we amortize t ...
Symbol Tables - Lehigh CORAL
... Under reasonable assumptions on the distribution of keys, we can derive some probabilistic results. The probability that a given list has more than tα items on it is less than (α e / t) e-α. ...
... Under reasonable assumptions on the distribution of keys, we can derive some probabilistic results. The probability that a given list has more than tα items on it is less than (α e / t) e-α. ...
1a) Describe the characrteristics of a complete binary tree
... 12. For each of the following statements about re-black trees, determine wheter it is true or false, if you think it is true, provide justification. If you think it is false, give a counter example. Background info -A re-black tree is a binary search tree with one extra bit of storage per node: its ...
... 12. For each of the following statements about re-black trees, determine wheter it is true or false, if you think it is true, provide justification. If you think it is false, give a counter example. Background info -A re-black tree is a binary search tree with one extra bit of storage per node: its ...
Binary Search Tree
... • Prove Jensen’s inequality, which says that f(E[X]) ≤ E[f(X)] for any convex function f and random variable X. • Analyze the exponential height of a randomly built BST on n nodes, which is the random variable Yn= 2Xn, where Xn is the random variable denoting the height of the BST. • Prove that 2E[X ...
... • Prove Jensen’s inequality, which says that f(E[X]) ≤ E[f(X)] for any convex function f and random variable X. • Analyze the exponential height of a randomly built BST on n nodes, which is the random variable Yn= 2Xn, where Xn is the random variable denoting the height of the BST. • Prove that 2E[X ...
Trees - GearBox
... ► Go to parent or children from a given node ► Add a root to an empty tree ► Add a child to a node ► Remove a node (can impose that the node be a leaf, for simplicity) ► Get the element associated to a node ► Replace the element associated to a node ...
... ► Go to parent or children from a given node ► Add a root to an empty tree ► Add a child to a node ► Remove a node (can impose that the node be a leaf, for simplicity) ► Get the element associated to a node ► Replace the element associated to a node ...
Document
... Pharmacopeia has tested the DS Accord Chemistry Cartridge for use in data mining and subsequent analysis to assess novel libraries of compounds that are planned for synthesis. Creating such a library can take over a man-year. To enable such library construction and analysis, Accord users will need t ...
... Pharmacopeia has tested the DS Accord Chemistry Cartridge for use in data mining and subsequent analysis to assess novel libraries of compounds that are planned for synthesis. Creating such a library can take over a man-year. To enable such library construction and analysis, Accord users will need t ...
document
... which discriminate you are using and make a choice based on that. If at a level you find a record with a matching key you have found your record. Or, if you find a null pointer, you have reached the end of your search. Otherwise, make a choice using the discriminate. ...
... which discriminate you are using and make a choice based on that. If at a level you find a record with a matching key you have found your record. Or, if you find a null pointer, you have reached the end of your search. Otherwise, make a choice using the discriminate. ...
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.