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 ...
Trees
... For trees, several well-defined visiting orders exist: Depth first traversals preorder (NLR) ... visit root, then left subtree, then right subtree inorder (LNR) ... visit left subtree, then root, then right subtree postorder (LRN) ... visit left subtree, then right subtree, then root Bread ...
... For trees, several well-defined visiting orders exist: Depth first traversals preorder (NLR) ... visit root, then left subtree, then right subtree inorder (LNR) ... visit left subtree, then root, then right subtree postorder (LRN) ... visit left subtree, then right subtree, then root Bread ...
Text on spatial data structures.
... In the Point-Region Quadtree (hereafter referred to as the PR quadtree) each node either has exactly four children or is a leaf. That is, the PR quadtree is a full fourway branching (4-ary) tree in shape. The PR quadtree represents a collection of data points in two dimensions by decomposing the reg ...
... In the Point-Region Quadtree (hereafter referred to as the PR quadtree) each node either has exactly four children or is a leaf. That is, the PR quadtree is a full fourway branching (4-ary) tree in shape. The PR quadtree represents a collection of data points in two dimensions by decomposing the reg ...
Chapter 7 Data Structures for Computer Graphics • Any computer
... 3. A face array, pointing to the edge array, listing the edges that form each face ...
... 3. A face array, pointing to the edge array, listing the edges that form each face ...
Lecture 2 — February 7, 2007 1 Overview
... is used. But what happens if we insert the nodes in a random order? In this case, we end up with a BST whose average path length is O(log n). The analysis turns out to be the same as the analysis of quicksort on a random permutation. Reminder: Quicksort sorts a sequence of n elements by picking an a ...
... is used. But what happens if we insert the nodes in a random order? In this case, we end up with a BST whose average path length is O(log n). The analysis turns out to be the same as the analysis of quicksort on a random permutation. Reminder: Quicksort sorts a sequence of n elements by picking an a ...
FinalExamReviewS07
... tree will be O(lgn) • You should be able to show how these algorithms perform on a given red-black tree (except for delete), and tell their running time ...
... tree will be O(lgn) • You should be able to show how these algorithms perform on a given red-black tree (except for delete), and tell their running time ...
Spatial Data Structures
... - Number of nodes in quadtree representation is O(p+q) for 2q*2q image with perimeter p measured in pixel width. - It also holds for more dimensions. Snehal Thakkar ...
... - Number of nodes in quadtree representation is O(p+q) for 2q*2q image with perimeter p measured in pixel width. - It also holds for more dimensions. Snehal Thakkar ...
Slides 3 - USC Upstate: Faculty
... tree - a non-empty collection of vertices & edges vertex (node) - can have a name and carry other associated information path - list of distinct vertices in which successive vertices are connected by edges any two vertices must have one and only one path between them else its not a tree a tree ...
... tree - a non-empty collection of vertices & edges vertex (node) - can have a name and carry other associated information path - list of distinct vertices in which successive vertices are connected by edges any two vertices must have one and only one path between them else its not a tree a tree ...
TREE DATA STRUCTURES FOR GRAPHICS AND IMAGE
... thought towards what sort of data structures to use; ad hoc decisions are generally made. However, interest in hierarchical data structures for graphics and image processing has been increasing. Recursive algorithms to process images have existed for some time. Warnock (9) eliminates hidden surfaces ...
... thought towards what sort of data structures to use; ad hoc decisions are generally made. However, interest in hierarchical data structures for graphics and image processing has been increasing. Recursive algorithms to process images have existed for some time. Warnock (9) eliminates hidden surfaces ...
binary search tree - Wellesley College
... path from n to a leaf below it. E.g., node G has height 1, node C has height 2, and node F has height 4. The depth of a node n is the length of the path from n to the root. E.g., node F has depth 0, node C has depth 1, and node G has D depth 2. A binary tree is height-balanced iff at every node n, t ...
... path from n to a leaf below it. E.g., node G has height 1, node C has height 2, and node F has height 4. The depth of a node n is the length of the path from n to the root. E.g., node F has depth 0, node C has depth 1, and node G has D depth 2. A binary tree is height-balanced iff at every node n, t ...
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.