Functional Pearl Trouble Shared is Trouble Halved
... Before we tackle optimal bracketing, let us first look at a related but simpler problem, in which each recursive call depends only on the immediate segments. ...
... Before we tackle optimal bracketing, let us first look at a related but simpler problem, in which each recursive call depends only on the immediate segments. ...
Chapter 4: Algorithms and Data Structures
... (b) If (G, (ri )i∈I ) is a rooted forest and x ∈ V (G(ri )), then the height h(x) of x is the length of the unique path connecting ri to x. Definition 4.2.8. Let (G, (ri )i∈I ) be a rooted forest. Let x, y ∈ V (G). (i) We say that x is a child of y and y a parent of x if and only if x and y are conn ...
... (b) If (G, (ri )i∈I ) is a rooted forest and x ∈ V (G(ri )), then the height h(x) of x is the length of the unique path connecting ri to x. Definition 4.2.8. Let (G, (ri )i∈I ) be a rooted forest. Let x, y ∈ V (G). (i) We say that x is a child of y and y a parent of x if and only if x and y are conn ...
Binary Heaps
... heap1.findMin() < heap2.findMin(): temp = heap1.right; heap1.right = heap1.left; heap1.left = merge(heap2, temp); return heap1; ...
... heap1.findMin() < heap2.findMin(): temp = heap1.right; heap1.right = heap1.left; heap1.left = merge(heap2, temp); return heap1; ...
Finding The Maximum Density Axes Parallel Regions for Weighted
... As evident from our algorithm in Section 2.1, we need two particular data structures namely (a) a 2-d range aggregate data structure D such that given a query rectangle q we can efficiently decide if q ∩ D = ∅ or not, and (b) a 3-d range successor data structure for efficient execution of our algori ...
... As evident from our algorithm in Section 2.1, we need two particular data structures namely (a) a 2-d range aggregate data structure D such that given a query rectangle q we can efficiently decide if q ∩ D = ∅ or not, and (b) a 3-d range successor data structure for efficient execution of our algori ...
Linked Lists, Stacks, Queues
... deletions take place only at the one end, referred to as the top of a stack. A queue represents a waiting list, where insertions take place at the back (also referred to as the tail of) of a queue and deletions take place from the front (also referred to as the head of) of a queue. In a priority que ...
... deletions take place only at the one end, referred to as the top of a stack. A queue represents a waiting list, where insertions take place at the back (also referred to as the tail of) of a queue and deletions take place from the front (also referred to as the head of) of a queue. In a priority que ...
Document
... (Note that 17 is pushed up and only appears once in the index. Contrast this with a leaf split.) ...
... (Note that 17 is pushed up and only appears once in the index. Contrast this with a leaf split.) ...
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.