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Midterm 2 Exam Study Guide
Midterm 2 Exam Study Guide

ch17d-draw
ch17d-draw

heap
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 ...
The Union-Find Problem Kruskal`s algorithm for finding an MST
The Union-Find Problem Kruskal`s algorithm for finding an MST

PPT
PPT

... To store trees efficiently, we hang the tree from a root node. (In principle, any node can be selected for the root.) ...
Binary tree
Binary tree

... Maximum number of nodes in a binary tree of height k is 2k+1 -1. A full binary tree with height k is a binary tree which has 2k+1 - 1 nodes. A complete binary tree with height k is a binary tree which has maximum number of nodes possible in levels 0 through k -1, and in (k -1)’th level all nodes wit ...
Data Structures for Scenes, The Basics of Scene Graphs
Data Structures for Scenes, The Basics of Scene Graphs

... Partial traversal of a tree can sometimes give us a good “approximation” of a scene. • For example, have general shapes high in the tree and details lower in the tree. Then we can draw at a coarse level of detail by ignoring all nodes below a certain level. ...
Solid Modeling 3D Object Representations • Raw data • Solids
Solid Modeling 3D Object Representations • Raw data • Solids

Spatial Query Integrity with Voronoi Neighbors
Spatial Query Integrity with Voronoi Neighbors

... summarizes the child nodes’ minimum bounding rectangles (MBRs) and digests. Digests are computed in a bottom up fashion, and the single digest at the root is signed by the DO. Range queries on the MR-tree are handled by a depth first traversal of the tree. The resulting VO contains 1) all the object ...
KDD06rdt - Columbia University
KDD06rdt - Columbia University

Binary Search Trees
Binary Search Trees

plaxton_current
plaxton_current

Background
Background

... • Segment tree is static data structure. • It can be dynamic using union-find structure. • Theorem. A segment tree that uses the union-copy structure to represent the sets associated with the tree nodes supports insert into a tree already containing n intervals in O(log n) time and list intervals fo ...
ppt
ppt

... – If intersect node w/ desired back-pointer, follow it – Leave back-pointers to object at each hop – If root or best approximate node reached and no Benefits: pointer to object, then it has not been inserted – Decouples tree traversal from any single node – Exploits locality with short-cutting back- ...
Web Data Extraction
Web Data Extraction

Similar and Congruent Triangles
Similar and Congruent Triangles

pptx - David Lillis
pptx - David Lillis

... recursively visiting its left subtree, but before recursively visiting the right subtree. • A node cannot be visited until all of its descendants in the left subtree have been visited (but before any in the right subtree). ...
Algorithms and Data Structures
Algorithms and Data Structures

power point
power point

... Splitting the root requires the creation of a new root root[T] ...
Trees
Trees

... • Node with children is the parent node of those children • Nodes with same parent are siblings • Node with no children is a leaf node • The only node with no parent is the root node – All others have one parent each ...
Tree Introduction
Tree Introduction

... Binary Tree Application: Animal Game • Purpose: guess an animal using a sequence of questions – Internal nodes contain yes/no questions – Leaf nodes are animals – Initially, tree contains a single animal (e.g., a “cat”) stored in the root node 1. Start at root. 2. If internal node  ask yes/no ques ...
Similar and Congruent Triangles
Similar and Congruent Triangles

No Slide Title
No Slide Title

Worst Case Constant Time Priority Queue
Worst Case Constant Time Priority Queue

CSE 326: Data Structures Lecture #23 randomized data structures
CSE 326: Data Structures Lecture #23 randomized data structures

... • Finding a goal node in very, very large graphs using DFS, BFS, and even A* (using known heuristic functions) is often too slow • Alternative: random walk through the graph ...
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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.
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