CS 2133: Data Structures
... value: an identifying field inducing a total ordering left: pointer to a left child (may be NULL) right: pointer to a right child (may be NULL) p: (sometimes) pointer to a parent node (NULL for root) ...
... value: an identifying field inducing a total ordering left: pointer to a left child (may be NULL) right: pointer to a right child (may be NULL) p: (sometimes) pointer to a parent node (NULL for root) ...
BINARY SEARCH TREE PERFORMANCE
... balanced. Here is a summary: The first to be invented was the AVL tree, named for Adelson-Velskii and Landis who invented it in 1962. The workings of the AVL scheme are visualized in David Galles' tool. For an explanation of this scheme, see Weiss. 5 The scheme your book covers in Chapter 9 is known ...
... balanced. Here is a summary: The first to be invented was the AVL tree, named for Adelson-Velskii and Landis who invented it in 1962. The workings of the AVL scheme are visualized in David Galles' tool. For an explanation of this scheme, see Weiss. 5 The scheme your book covers in Chapter 9 is known ...
Document
... Selection Sort • List of names – Put them in alphabetical order • Find the name that comes first in the alphabet, and write it on a second sheet of paper • Cross out the name on the original list • Continue this cycle until all the names on the original list have been crossed out and written onto t ...
... Selection Sort • List of names – Put them in alphabetical order • Find the name that comes first in the alphabet, and write it on a second sheet of paper • Cross out the name on the original list • Continue this cycle until all the names on the original list have been crossed out and written onto t ...
Summary of data structures in the course General purpose data
... Given a problem, there are sensible and less sensible choices of a data structure, both from the ease of programming point of view and from efficiency point of view. Just like choosing a right tool for the job, some of it is obvious and some of it is down to experience or even to personal preference ...
... Given a problem, there are sensible and less sensible choices of a data structure, both from the ease of programming point of view and from efficiency point of view. Just like choosing a right tool for the job, some of it is obvious and some of it is down to experience or even to personal preference ...
CS4618: Prerequisite Knowledge of Data Structures
... where n is the length of the list). We will allow ourselves to also write this operation as xs[i]. insert(x, i, xs): inserts object x into position i in list xs (assumes 0 ≤ i < n, where n is the length of the list). Objects in the list at positions greater than i are now at indexes that are one gre ...
... where n is the length of the list). We will allow ourselves to also write this operation as xs[i]. insert(x, i, xs): inserts object x into position i in list xs (assumes 0 ≤ i < n, where n is the length of the list). Objects in the list at positions greater than i are now at indexes that are one gre ...
x - Yimg
... For n = 0 T (n) = (c + d)n + c (c + d) . 0 + c = c = T (0). For n > 0, T (n) = T (k) + T (n − k − 1) + d = ((c + d)k + c) + ((c + d)(n − k − 1) + c) + d = (c + d)n + c − (c + d) + c + d = (c + d)n + c , which completes the proof. ...
... For n = 0 T (n) = (c + d)n + c (c + d) . 0 + c = c = T (0). For n > 0, T (n) = T (k) + T (n − k − 1) + d = ((c + d)k + c) + ((c + d)(n − k − 1) + c) + d = (c + d)n + c − (c + d) + c + d = (c + d)n + c , which completes the proof. ...
Quadtree
A quadtree is a tree data structure in which each internal node has exactly four children. Quadtrees are most often used to partition a two-dimensional space by recursively subdividing it into four quadrants or regions. The regions may be square or rectangular, or may have arbitrary shapes. This data structure was named a quadtree by Raphael Finkel and J.L. Bentley in 1974. A similar partitioning is also known as a Q-tree. All forms of quadtrees share some common features: They decompose space into adaptable cells Each cell (or bucket) has a maximum capacity. When maximum capacity is reached, the bucket splits The tree directory follows the spatial decomposition of the quadtree.