Heap (data structure)

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	Tree data structure - Wikipedia, the free encyclopedia
		There are many different ways to represent trees; common representations represent the nodes as records allocated on the heap with pointers to their children, their parents, or both, or as items in an array, with relationships between them determined by their positions in the array (e.g., binary heap).
		Binary search trees are one kind of ordered tree, and there is a one-to-one mapping between binary trees and general ordered trees.
		In graph theory, a tree is a connected acyclic graph.
	en.wikipedia.org /wiki/Ordered_tree_data_structure (458 words)

	Methods to Solve - Chapter 11. Advanced Data Structures
		So, why bother creating your own heap data structure if what you need is a generic priority_queue.
		Seems it will be hard for us to implement the heap data structure correctly during contest time...
		Let's say there is a collection of objects and a data structure must quickly answer the question: 'Is this object in the data structure?' (e.g., is this word in the dictionary?).
	www.comp.nus.edu /~stevenha/programming/prog_datastructures2.html (458 words)

	data structure
		Note: Most data structures have associated algorithms to perform operations, such as search, insert, or balance, that maintain the properties of the data structure.
		Paul E. Black, "data structure", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST.
		Go to the Dictionary of Algorithms and Data Structures home page.
	www.nist.gov /dads/HTML/datastructur.html (458 words)

	data structure
		Note: Most data structures have associated algorithms to perform operations, such as search, insert, or balance, that maintain the properties of the data structure.
		external memory data structure, passive data structure, active data structure, persistent data structure, recursive data structure.
		Paul E. Black, "data structure", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST.
	www.nist.gov /dads/HTML/datastructur.html (143 words)

	List of data structures - Wikipedia, the free encyclopedia
		For a wider list of terms, see list of terms relating to algorithms and data structures.
		Other structures such as "linked list" and "stack" cannot easily be defined this way because there are specific operations associated with them.
		Priority queue - sometimes implemented as a Heap, below
	en.wikipedia.org /wiki/List_of_data_structures (143 words)

	WebReference.com - Chapter 3 from Perl & XML, from O'Reilly and Associates (6/12)
		With each update, your program does something new--perhaps translating the data and sending it to another place, testing it for some specific content, or sticking it onto a growing heap of data.
		Tree building, on the other hand, lets the data stick around for as long as you need it, and your code is usually simple because you don't need special tricks to do things like backwards searching.
		For example, nested elements may be represented in native Perl structures like lists or hashes, as we saw in an earlier example.
	www.webreference.com /programming/perl/perlxml/chap3/6.html (797 words)

	CS 3137 Final Exam Study Guide
		Hash/Heap data structure to efficiently implement extra operations -- decreaseKey(p,delta), increaseKey(p,delta), delete(p) -- where p is position and delta is a positive amount
		Worst case running time for basic data structure: O(MN) for N entries, M operations
		Basic graph definitions: vertex set, edge set, directed vs. undirected graphs, weighted vs. unweighted, paths and cycles
	www.cs.columbia.edu /~cleslie/cs3137/f02-finalstudy.html (797 words)

	CSci 5121 Data Structure and Algorithm
		You can learn some advanced data structure like heap, disjoint set, and hash table.
		All these stuffs were what I never knew before, so they were so fresh and interesting to me. While I enjoy the smartness of all these data structures and algorithms, I realized how important a good data structure and efficient algorith are to a program.
		You can also be taught some advanced sorting and graph algorithms.
	www.me.umn.edu /~guhong/csci5121.htm (797 words)

	A Heap Based Priority Queue
		Second, the heap is a very efficient data structure in terms of the running time of its operations.
		The primary reasons for choosing the heap as the data structure for my priority queue were:
		This data structure was first described by Williams[3], who described an implementation of a priority queue based on this structure.
	www.csua.berkeley.edu /~ranga/school/cs161 (1874 words)

	Tree data structure - Wikipedia, the free encyclopedia
		In computer science, a tree is a widely-used computer data structure that emulates a tree structure with a set of linked nodes.
		There are many different ways to represent trees; common representations represent the nodes as records allocated on the heap with pointers to their children, their parents, or both, or as items in an array, with relationships between them determined by their positions in the array (e.g., binary heap).
		In graph theory, a tree is a connected acyclic graph.
	en.wikipedia.org /wiki/Tree_data_structure (458 words)

	MER Systems Inc.
		Managing Data Segment Size The "Data Segment too large" error occurs in Delphi 16 bit applications when the size of static data, stack and local heap are larger than the 64k application limit imposed by Windows.
		The dialog will list the following, given a new project with one form: Source compile: 12 lines Code size: 128981 bytes Data size: 3636 bytes Stack size: 16384 bytes Local Heap size: 8192 bytes A Delphi application starts with the overhead of static data declared in units that provide the applications initial functionality.
		Alternative to global declaration of a large structure ------------------------------------------------------ Here's an example that will waste 32 bytes of data segment, followed by a second example using only 4 bytes, and accomplishes essentially the same task.
	www.mers.com /INPRISE/FAQ/2964.HTML (458 words)

	Heapsort
		The data structure of the heapsort algorithm is a heap.
		The heap data structure can also be used for an efficient implementation of a priority queue.
		A priority queue is an abstract list data structure with the operations insert and extractMax.
	www.iti.fh-flensburg.de /lang/algorithmen/sortieren/heap/heapen.htm (663 words)

	Tree data structure - Wikipedia, the free encyclopedia
		In computer science, a tree is a widely-used computer data structure that emulates a tree structure with a set of linked nodes.
		There are many different ways to represent trees; common representations represent the nodes as records allocated on the heap with pointers to their children, their parents, or both, or as items in an array, with relationships between them determined by their positions in the array (e.g., binary heap).
		In graph theory, a tree is a connected acyclic graph.
	en.wikipedia.org /wiki/Tree_data_structure (458 words)

	What is an "Abstract Data Type"?
		Concerning the ADT, back in high school days (late 80's early 90's) ADT was always a conceptual structure only, like a stack/heap/queue.
		The data type is a stack, but it isn't a primitave data type.
		The most common ADT would be a stack, heap or queue, which can be implemented in an OOP manner or a procedural manner in just about (if not all) languages.
	www.codecomments.com /message369948.html (1319 words)

	icpp,Proceedings of the 1996 International Conference on Parallel Processing (ICPP '96)-Volume 1
		Adopting a b-bandwidth binomial heap as the underlying data structure and a mapping which minimizes the amount of data movement among the processors when two binomial trees are melded, the hypercube algorithm, attains a nearly optimal amortized speed-up for the Insert, Extract-Min and Union operations.
		Abstract: On the parallel random access machine (PRAM) models, we present an optimal implementation of a meldable priority queue based on the binomial heap data structure.
		"(R) Parallel and Distributed Meldable Priority Queues Based on Binomial Heaps," icpp, vol. 01, no. 1, p.
	doi.ieeecs.org /DOIResolver/resolver/10.1109/ICPP.1996.537167 (1319 words)

	Binary heap - Wikipedia, the free encyclopedia
		Binary heaps are a particularly simple kind of heap data structure created using a binary tree.
		This is a simple example of an implicit data structure.
		Heaps where the comparison function is mathematical "greater than" are called max-heaps; those where the comparison function is mathematical "less than" are called "min-heaps".
	en.wikipedia.org /wiki/Binary_heap (931 words)

	2-3 heap - TheBestLinks.com - Data structure, Heap, 1999, Fibonacci heap, ...
		A 2-3 heap is a data structure, a variation on the heap, designed by Tadao Takaoka in 1999.
		2-3 heap, Data structure, Heap, 1999, Fibonacci heap, 2-3 tree, Tadao Takaoka
		2-3 heap - TheBestLinks.com - Data structure, Heap, 1999, Fibonacci heap,...
	www.thebestlinks.com /2__MM__3_heap.html (111 words)

	2-3 heap -- Facts, Info, and Encyclopedia article
		A 2-3 heap is a ((computer science) the organization of data (and its storage allocations in a computer)) data structure, a variation on the (A collection of objects laid on top of each other) heap, designed by Tadao Takaoka in 1999.
		The structure is similar to the (additional info and facts about Fibonacci heap) Fibonacci heap, and borrows from the (additional info and facts about 2-3 tree) 2-3 tree.
		Tadao Takaoka Theory of 2-3 Heaps, Cocoon 1999
	www.absoluteastronomy.com /encyclopedia/2/2/2-3_heap.htm (102 words)

	fibheap_8C-source.html
		Using amortized analysis, the asymptotically fastest heap 00017 // data structure is the Fibonacci heap.
		The constants are a little 00018 // high so the real speed gain will not be seen until larger data sets 00019 // are required, but in most cases, if the data set is small, then the 00020 // run-time will be neglible anyway.
		These functions 00033 // are declared virtual so that the code in the FibHeap class can compare, 00034 // assign and destroy your objects by calling on your code.
	rioja.sangria.cs.cmu.edu /tumble/doc/fibheap_8C-source.html (1182 words)

	Definition of Merge sort
		Although mergesort can sort linked lists, it is also much more efficient than quicksort if the data to be sorted can only be efficiently accessed sequentially, and is thus popular in languages, such as Lisp, where sequentially accessed data structures are very common.
		In computer science, merge sort or mergesort is a sort algorithm for rearranging lists (or any other data structure that can only be accessed sequentially, e.g.
		Although heap sort has the same time bounds as merge sort, it requires only Ω(1) auxilary space instead of merge sort's Ω(n), and is consequently often faster in practical implementations.
	www.wordiq.com /definition/Merge_sort (1182 words)

	The Memory Management Glossary: H
		This use of heap is unconnected with the data structure used by the heapsort algorithm.
		It is necessary to implement modern data structures, such as recursive trees and full closures.
		Heap allocation or dynamic allocation means run-time allocation and deallocation of storage in arbitrary order.
	www.memorymanagement.org /glossary/h.html (461 words)

	Priority Queues and Heapsort in Java
		Finally, in Section 9.7, we examine a more advanced data structure, called the binomial queue, that we use to implement all the operations (including join) in worst-case logarithmic time.
		During our study of all these various data structures, we shall bear in mind both the basic tradeoffs dictated by linked versus sequential memory allocation (as introduced in Chapter 3) and the problems involved with making packages usable by applications programs.
		First, in Section 9.1, we illustrate this point by discussing a few elementary data structures for implementing priority queues.
	www.informit.com /articles/article.asp?p=29793&seqNum=7 (461 words)

	Heap - Wikipedia, the free encyclopedia
		In computer science a heap is a specialized tree-based data structure.
		The efficiency of heap operations is crucial in several graph algorithms.
		Heaps are used in the sorting algorithm called heapsort.
	en.wikipedia.org /wiki/Heap (210 words)

	Heap - Wikipedia, the free encyclopedia
		Heaps are favourite data structures for many applications.
		In computer science a heap is a specialized tree-based data structure.
		The efficiency of heap operations is crucial in several graph algorithms.
	en.wikipedia.org /wiki/Heap (352 words)

	Block Data Structure
		Memory to hold data used internally by the heap algorithms
		The number of words in the block, block size (header + data area)
		Allocation routine returns a pointer to the first word of the block data area (p)
	www.cs.rit.edu /~ark/lectures/gc/03_01_00.html (352 words)

	LecNov6.doc
		The fibonacci heap is a data structure that performs all the basic heap operations in O(1) amortized time except extract-min and delete which take O(log n) amortized time.
		Structure of Fibonacci Heap It is a linked list representation of heap-ordered trees.
		The trees in a fibonacci heap are not constrained to be binomial trees.
	people.bu.edu /somag/LecNov6.doc (852 words)

	LecNov6.doc
		Binomial Heap A binomial heap is a set of binomial trees that satisfies the binomial heap properties: Each tree is heap ordered: the key of a node is greater than or equal to the key of its parent.
		The fibonacci heap is a data structure that performs all the basic heap operations in O(1) amortized time except extract-min and delete which take O(log n) amortized time.
		Representation of Binomial Heaps Each binomial tree is represented with a pointer structure.
	people.bu.edu /somag/LecNov6.doc (852 words)

	Binary Heap Insert Algorithm
		It is a data structure designed to keep up with a maximum or minimum value of interest, to return that value of interest, and to be able to have efficient inserts and deletions in that structure.
		The root of the binary heap (and consequently the Min or Max value) is always in the Array index 1.
		More technically, it is a complete binary tree where every node is either less than (Max Heap) or greater than (Min Heap) its parent.
	www.auburn.edu /~brittwr/comp3270/comp3270.html (630 words)

	Binary Heap Priority Queue - Introduction and ANSI C Reference Implementation
		The structure resulting from this preliminary step clearly is still a binary tree, but it is not necessarily a binary heap.
		This page features an introduction to the priority queue data structure and a Public Domain ANSI C reference implementation thereof.
		This operation is fairly trivial; since heaps keep their highest-ranking element in their top slot at all times, an elementary, constant-time array lookup is all this takes.
	www.sbhatnagar.com /SourceCode/pqueue.html (2572 words)

	Citations: Relaxed heaps: An alternative to Fibonacci heaps with applications to parallel computation - Driscoll, Gabow, Shrairman, Tarjan (ResearchIndex)
		In this case, the problem can be solved by Dijkstra s algorithm in O(m n log n) time using the Fibonacci heap or another priority queue data structure with the same resource bounds
		Delete(Q; e) Deletes element e from priority queue Q provided that it is known where e is stored in Q (priority queues do not support the searching for an element) The implementation of priority queues is a classical problem in data structures.
		Fibonacci and rank relaxed heaps (we did not implement run relaxed heaps, which can be seen to suffer from much larger overhead than rank relaxed heaps) offer the largest number of choices.
	citeseer.ist.psu.edu /context/128628/0 (3237 words)

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