Dijkstra`s Algorithm
... do any of the above algorithms twice, giving 2n-2 steps. But can we do better? We will not do better asymptotically. That is we will still need O(n), but can we make the constant factors better? Normally, we do not care so much about this, but sometimes constant factors are an important practical ma ...
... do any of the above algorithms twice, giving 2n-2 steps. But can we do better? We will not do better asymptotically. That is we will still need O(n), but can we make the constant factors better? Normally, we do not care so much about this, but sometimes constant factors are an important practical ma ...
CS2006Ch04A
... Simple Fast, easy to perform search but Difficult to insert and delete items Must specify size at construction time ...
... Simple Fast, easy to perform search but Difficult to insert and delete items Must specify size at construction time ...
CMSC 420: Data Structures
... children. Suppose further that the tree has exactly n = 2k − 1 nodes, for some integer k ≥ 1. Derive an algorithm which using only AVL single left- and right-rotations, maps this tree into a perfectly balanced complete tree. Explain how your algorithm works and give an example. (Hint: Start by getti ...
... children. Suppose further that the tree has exactly n = 2k − 1 nodes, for some integer k ≥ 1. Derive an algorithm which using only AVL single left- and right-rotations, maps this tree into a perfectly balanced complete tree. Explain how your algorithm works and give an example. (Hint: Start by getti ...
Assignment 2
... Must implement some way of specifying hashes manually at run-time! Helps (a lot) with debugging and testing Ok to modify API for this feature ...
... Must implement some way of specifying hashes manually at run-time! Helps (a lot) with debugging and testing Ok to modify API for this feature ...
Interactive Iso-Surface Ray Tracing Of Massive Volumetric Data Sets
... To focus in that direction is to support secondary rays as cheap as possible i.e. if rays have no common origin A first attempt with the algorithm of Reshetov et al. was not successful since rendering performance degenerated too fast with an increasing number of secondary rays due to their rayfr ...
... To focus in that direction is to support secondary rays as cheap as possible i.e. if rays have no common origin A first attempt with the algorithm of Reshetov et al. was not successful since rendering performance degenerated too fast with an increasing number of secondary rays due to their rayfr ...
Lecture 21
... spanning tree: • Assume another spanning tree has lower cost than Kruskal’s. • Pick an edge e1 = (u, v) in that tree that’s not in Kruskal’s. • Consider the point in Kruskal’s algorithm where u’s set and v’s set were about to be connected. Kruskal selected some edge to connect them: call it e2 . • B ...
... spanning tree: • Assume another spanning tree has lower cost than Kruskal’s. • Pick an edge e1 = (u, v) in that tree that’s not in Kruskal’s. • Consider the point in Kruskal’s algorithm where u’s set and v’s set were about to be connected. Kruskal selected some edge to connect them: call it e2 . • B ...
Constructing the Suffix Tree of a Tree with a Large Alphabet
... same first character. Let l1 and l2 be the label lengths of e1 and e2 , respectively. Without loss of generality, we let l1 ≥ l2 . Then we construct a internal node v10 between v and v1 if l1 > l2 , otherwise let v10 be v1 . In case that l1 > l2 , let the label of edge (v, v10 ) be the first l2 charac ...
... same first character. Let l1 and l2 be the label lengths of e1 and e2 , respectively. Without loss of generality, we let l1 ≥ l2 . Then we construct a internal node v10 between v and v1 if l1 > l2 , otherwise let v10 be v1 . In case that l1 > l2 , let the label of edge (v, v10 ) be the first l2 charac ...
class8
... Perform a single rotation around the parent of P, as illustrated in Figure 7.21 or its mirror image. • Case II: P and Parent(P) are both left children, or both right children: Perform two single rotations in the same direction, first around the grandparent of P and then around the parent of P as sho ...
... Perform a single rotation around the parent of P, as illustrated in Figure 7.21 or its mirror image. • Case II: P and Parent(P) are both left children, or both right children: Perform two single rotations in the same direction, first around the grandparent of P and then around the parent of P as sho ...
Lecture 3 — February 8, 2005 1 Introduction 2 The Cost of
... probability pi . In a degenerate case where (∃)j : pj ≈ 1, storing j at the root allows us to achieve roughly O(1) time per access. In general, this setup reminds one of Huffman trees, which are data structures that store data only at the leaves, and want to minimize the expected depth of an element ...
... probability pi . In a degenerate case where (∃)j : pj ≈ 1, storing j at the root allows us to achieve roughly O(1) time per access. In general, this setup reminds one of Huffman trees, which are data structures that store data only at the leaves, and want to minimize the expected depth of an element ...
ds bits - WordPress.com
... sorted. Which of the following sorting methods will be the most efficient if it is already in sorted order? a. bubble sort b. selection sort c. insertion sort d. merge sort 114. The way a card game player arranges his cards as he picks them up one by one , is an example of a. bubble sort b. selectio ...
... sorted. Which of the following sorting methods will be the most efficient if it is already in sorted order? a. bubble sort b. selection sort c. insertion sort d. merge sort 114. The way a card game player arranges his cards as he picks them up one by one , is an example of a. bubble sort b. selectio ...
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.