Binary Trees - CIS @ UPenn
... • A binary tree is defined recursively: it consists of a root, a left subtree, and a right subtree • To traverse (or walk) the binary tree is to visit each node in the binary tree exactly once • Tree traversals are naturally recursive • Since a binary tree has three “parts,” there are six possible w ...
... • A binary tree is defined recursively: it consists of a root, a left subtree, and a right subtree • To traverse (or walk) the binary tree is to visit each node in the binary tree exactly once • Tree traversals are naturally recursive • Since a binary tree has three “parts,” there are six possible w ...
Lecture 5
... The Position ADT models the notion of place within a data structure where a single object is stored It gives a unified view of diverse ways of storing data, such as a cell of an array a node of a linked list ...
... The Position ADT models the notion of place within a data structure where a single object is stored It gives a unified view of diverse ways of storing data, such as a cell of an array a node of a linked list ...
Big Oh and Linked Lists - NYU Computer Science Department
... the beginning. If we need to expand the array it is expensive (in Java) or impossible (in some other languages). This wastes considerable space. Also insertions and deletions are expensive because we may need to move elements in order to execute the operation (on average half are moved – worse cas ...
... the beginning. If we need to expand the array it is expensive (in Java) or impossible (in some other languages). This wastes considerable space. Also insertions and deletions are expensive because we may need to move elements in order to execute the operation (on average half are moved – worse cas ...
Sample Final with solutions
... do you implement this as efficiently as possible? SOLUTION: Create a graph with each city represented by a node. If there is a flight between two cities, put the directed edge between the corresponding tree nodes. Given node for city A, run directed BF S with level marking. Return all the cities cor ...
... do you implement this as efficiently as possible? SOLUTION: Create a graph with each city represented by a node. If there is a flight between two cities, put the directed edge between the corresponding tree nodes. Given node for city A, run directed BF S with level marking. Return all the cities cor ...
Nodes
... have four children. (You will see this more clearly once we talk about how they are actually built.) • These numbers are important. If a node has one data item, then it also points to lower level nodes that have values less than the value of this item and a pointer to a node that has values greater ...
... have four children. (You will see this more clearly once we talk about how they are actually built.) • These numbers are important. If a node has one data item, then it also points to lower level nodes that have values less than the value of this item and a pointer to a node that has values greater ...
Data Abstractions
... mechanisms as those for lists For example, for stacks contiguous lists can be used: ...
... mechanisms as those for lists For example, for stacks contiguous lists can be used: ...
Lecture 11
... • That means the leaf’s parent must point to this new node. – So we insert the new leaf into the parent. – Ack, there’s a problem here! ...
... • That means the leaf’s parent must point to this new node. – So we insert the new leaf into the parent. – Ack, there’s a problem here! ...
II. Dictionaries
... then used to store the Player object in the dictionary. Remember that in every other collection we've discussed, to find a specific element, we had to do a linear search through the collection, examining every one until the desired one is found. With a Dictionary, this is unnecessary; if we want to ...
... then used to store the Player object in the dictionary. Remember that in every other collection we've discussed, to find a specific element, we had to do a linear search through the collection, examining every one until the desired one is found. With a Dictionary, this is unnecessary; if we want to ...
Some Data Structures
... type type treenode2 = record value : information parent : ↑treenode2 • where now each node contains only a single pointer leading to its parent. • This representation is about as economical with storage space, but • it is inefficient unless all the operations on the tree involve starting from a node ...
... type type treenode2 = record value : information parent : ↑treenode2 • where now each node contains only a single pointer leading to its parent. • This representation is about as economical with storage space, but • it is inefficient unless all the operations on the tree involve starting from a node ...
Slides
... • Usually outperforms Linear search: O(logn) vs. O(n) • Disadvantages – Sorted list of data items – Direct access of storage structure, not good for linked-list ...
... • Usually outperforms Linear search: O(logn) vs. O(n) • Disadvantages – Sorted list of data items – Direct access of storage structure, not good for linked-list ...
CS503: First Lecture, Fall 2008
... • That means the leaf’s parent must point to this new node. – So we insert the new leaf into the parent. – Ack, there’s a problem here! ...
... • That means the leaf’s parent must point to this new node. – So we insert the new leaf into the parent. – Ack, there’s a problem here! ...
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.