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Topic: Van Emde Boas priority queue

	Priority queue - Wikipedia, the free encyclopedia
		Priority queuing can be used to manage limited resources such as bandwidth on a transmission line from a network router.
		Another use of a priority queue is to manage the events in a discrete event simulation.
		The semantics of priority queues naturally suggest a sorting method: insert all the elements to be sorted into a priority queue, and sequentially remove them; they will come out in sorted order.
	en.wikipedia.org /wiki/Priority_queue (692 words)

	Van Emde Boas tree - Wikipedia, the free encyclopedia
		A van Emde Boas tree (or van Emde Boas priority queue), also known as a vEB tree, is a tree data structure which implements an associative array with m-bit integer keys.
		Since all operations on a single word are constant time, this does not affect the asymptotic performance, but it does avoid the majority of the pointer storage and several pointer dereferences, allowing us to achieve a significant practical savings in time and space with this trick.
		Lecture 1 notes: Fixed-universe successor problem, van Emde Boas.
	en.wikipedia.org /wiki/Van_Emde_Boas_tree (895 words)

	Weighted Fair Queue -- Recommendations and Resources (Site not responding. Last check: 2007-10-30)
		For a waiting queue of people, eventually there might not be enough space to squeeze into, or people might decide that the queue is already too long and not bother adding themselves to it.
		remove the element from the queue that has the highest priority, and return it The simplest way to implement a priority queue data type is to keep a list of records containing elements and priorities; removing an element requires searching the list sequentially for the element with the highest priority.
		There are several related processes, arriving at the back of the queue, waiting in the queue (essentially a storage process), and being served by the server at the front of the queue.
	www.becomingapediatrician.com /health/170/weighted-fair-queue.html (1151 words)

	Van Dyke, Henry - Hutchinson encyclopedia article about Van Dyke, Henry (Site not responding. Last check: 2007-10-30)
		He was American ambassador to the Netherlands and Luxembourg from 1913 to 1916 and served as a naval chaplain during World War I. Van Dyke was born in Germantown, Pennsylvania.
		The son of a Presbyterian minister, he grew up in New York City, was educated at Princeton, and held pastorates in Newport, Rhode Island, and New York City.
		This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.
	encyclopedia.farlex.com /Van%20Dyke,%20Henry (146 words)

	Priority Queues and the van Emde Boas Implementation
		Priority queues are used in a multitude of applications.
		Kaas, and E. Zulstra yet it was van Emde Boas' 1974 publication of the O(n log log n) algorithm for an Insert/Extract Problem that set the grounds for this implementation for priority queues.
		Van Emde Boas' first observation of what he called our "silly" priority queue was that one could instead of storing just the key at a node, store a list of the present children (note that this list is itself a priority queue and thus max can be found at constant time).
	www.cs.mcgill.ca /~mwozni/cs251/welcome.html (1511 words)

	priority queue (Site not responding. Last check: 2007-10-30)
		Some implementations also efficiently support join two priority queues (meld), delete an arbitrary item, and increase the priority of a item (decrease-key).
		where PQ is a priority queue, v and w are items, and priority(v) is the priority of item v.
		Paul E. Black, "priority queue", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology.
	www.nist.gov /dads/HTML/priorityque.html (230 words)

	Virgin Islands Tree Boa
		They typically have large eyes (though this is less pronounced in large species like the Emerald tree boa, ''Corallus caninus''), boxy heads, and highly elongated anterior teeth, which are often several times the length one would expect for a snake of their size.
		The Abaco Island Boa is a slender, terrestrial, viviparous boa with an iridescent reddish sheen of the scales.
		As a member of the rainbow boas (genus ''Epicrates''), it belongs to the family of the true boas (Boidae).
	www.artistbooking.com /trips/217/virgin-islands-tree-boa.html (1302 words)

	DBLP: Peter van Emde Boas
		Edith Spaan, Leen Torenvliet, Peter van Emde Boas: Nondeterminism fairness and a fundamental analogy.
		Leen Torenvliet, Peter van Emde Boas: Simplicity, Immunity, Relativizations and Nondeterminism Inf.
		Leen Torenvliet, Peter van Emde Boas: The Reconstruction and Optimization of Trie Hashing Functions.
	www.informatik.uni-trier.de /~ley/db/indices/a-tree/b/Boas:Peter_van_Emde.html (767 words)

	Priority queue \| TutorGig.co.uk Encyclopedia (Site not responding. Last check: 2007-10-30)
		A 'priority queue' is an ADT (abstract data type) supporting the following two operations:
		Popular Music See all 51 results in Priority queue..
		The analysis of a practical and nearly optimal priority queue (Outstan..
	www.tutorgig.co.uk /ed/Priority_queue (533 words)

	Design of Packet-Fair Queuing Schedulers Using a RAM-Based Searching Engine
		D. Stephens and H. Zhang, "Implementing distributed packet fair queueing in a scalable switch architecture," in Proc.
		P. van Emde Boas, R. Kaas, and E. Zijlstra, "Design and implementation of an efficient priority queue," Math.
		D. Picker and R. Fellman, "A VLSI priority packet queue with inheritance and overwrite," IEEE Trans.
	www.comsoc.org /sac/private/1999/jun/1105_17sac06-chao.html (900 words)

	priority queue - OneLook Dictionary Search
		Tip: Click on the first link on a line below to go directly to a page where "priority queue" is defined.
		priority queue : Dictionary of Algorithms and Data Structures [home, info]
		Priority Queue : Eric Weisstein's World of Mathematics [home, info]
	www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=priority+queue (119 words)

	DBLP: Peter van Emde Boas
		Krzysztof R. Apt, Peter van Emde Boas, Angelo Welling: The STO-Problem is NP-Hard.
		Peter van Emde Boas, Paul M. Vitányi: A note on the recursive enumerability of some classes of recursively enumerable languages.
		Peter van Emde Boas: A Comparison of the Properties of Complexity Classes and Honesty Classes.
	www.vldb.org /dblp/db/indices/a-tree/b/Boas:Peter_van_Emde.html (768 words)

	Bit array
		Similarly, sorting a bit array is trivial to do in O(n) time using counting sort — we count the number of ones k, fill the last k/w words with ones, set only the low k mod w bits of the next word, and set the rest to zero.
		Bit arrays are useful in some contexts as priority queues.
		We mentioned above that bit arrays are used for priority queues, where the bit at index k is set if and only if k is in the queue; this data structure is used, for example, by the Linux kernel, and benefits strongly from a find-first-zero operation in hardware.
	www.omniknow.com /common/wiki.php?in=en&term=Bit_array (2614 words)

	van Emde-Boas priority queue (Site not responding. Last check: 2007-10-30)
		Definition: An efficient implementation of priority queues where insert, delete, get minimum, get maximum, etc. take O(log log N) time, where N is the total possible number of keys.
		van Emde-Boas, R. Kass, and E. Zijlstra, Design and Implementation of an Efficient Priority Queue, Mathematical Systems Theory, 10:99-127, 1977.
		Paul E. Black, "van Emde-Boas priority queue", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology.
	www.nist.gov /dads/HTML/vanemdeboas.html (133 words)

	Advanced Algorithms - Data Structures (Fall 2005)
		Priority queues: Binomial heaps, Fibonacci heaps, Skew heaps.
		[V78] Jean Vuillemin, A data structure for manipulating priority queues, Communications of the ACM archive, Volume 21(4), 309-315, 1978.
		[T96] Mikkel Thorup, On RAM priority queues, In Proc.
	www.daimi.au.dk /~gerth/aa05 (716 words)

	References
		In J. van Leeuwen, editor, Handbook of Theoretical Computer Science: Algorithms and Complexity, volume A, pages 255-300.
		In J. van Leeuwen, editor, Handbook of Theoretical Computer Science: Algorithms and Complexity, volume A, pages 67-162.
		On an estimate of the chromatic class of a p-graph (in Russian).
	www2.toki.or.id /book/AlgDesignManual/BOOK/BOOK5/NODE232.HTM (2837 words)

	[No title]
		Initialize the data structure and process the vertices with in-degree=0.
		\ This will take O(V) since each vertex will be considered once and the enqueue operation is O(1).\ - dequeue 1 element(vertex) u from the queue and for each vertex v in its adj.
		Each edge will be considered at most once and it takes O(1) to remove the edge (simply reduce the value of in-degree-value[v] by 1)- then the total number of edge "removals" is O(E).
	adimitrov.net /main/code/code/AlgorithmsF2004/assign5.rtf (958 words)

	CITIDEL: Viewing 'Applications of the fusion tree method to computational geometry and searching' (Site not responding. Last check: 2007-10-30)
		van Emde Boas, Preserving order in a forest in less than logarithmic time and linear space, inform.
		D.B. Johnson, A priority queue in which initialization and queue operations take O(log log D) time, Math.
		E.M. McCreight, Priority Search Trees, SIAM Journal on Computing, 14 (1985), pp.
	www.citidel.org /?op=getobj&identifier=oai:ACMDL:articles.139466 (619 words)

	BRICS Research Series, Abstracts, 2001
		using existing methods, embed this tree in a static binary tree, which in turn is embedded in an array in a cache oblivious fashion, using the van Emde Boas layout of Prokop.
		We also investigate the practicality of cache obliviousness in the area of search trees, by providing an empirical comparison of different methods for laying out a search tree in memory.
		Using existing priority queues and sorting algorithms, this implies that we can deterministically sort time-space optimally in time
	www.brics.dk /RS/01/Abs/BRICS-RS-01-Abs/BRICS-RS-01-Abs.html (7203 words)

	89
		Homework 1: (relevant material - van Emde Boas, x-fast-tries, y-fast-tries, perfect hash construction).
		Preserving order in a forest in less than logarithmic time and linear space.
		van Emde Boas, R. Kaas, and E. Zijlstra.
	www.cs.biu.ac.il /~moshe/ds.html (314 words)

	[No title]
		van Emde Boas priority queue (AKA stratified tree) Priority range 1.
		There is an implementation-dependent constant that will bound the actual cost of each operation.
		Much like binomial queue, use “accumulator” of pointers to Consolidate so that there is no more than one tree whose root has k children.
	reptar.uta.edu /NOTES5311/notes07.doc (1170 words)

	Softpanorama: Algorithms and Data Structures (Site not responding. Last check: 2007-10-30)
		On March 22, 1977, as I was drafting Section 7.1 of The Art of Computer Programming, I read four papers by Peter van Emde Boas that turned out to be more appropriate for Chapter 8 than Chapter 7.
		I wrote a five-page memo entitled ``Notes on the van Emde Boas construction of priority deques: An instructive use of recursion,'' and sent it to Peter on March 29 (with copies also to Bob Tarjan and John Hopcroft).
		A Heap Implementation of the Priority Queue Class.
	www.softpanorama.org /Algorithms/algorithms.shtml (3916 words)

	[No title]
		The van Emde Boas data structure is described in this paper by Mehlhorn and Näher.
		Another description giving a priority queue priority queue.
		The basic concepts and algorithms can be found in Sections 4.9.1 and 4.9.2 of Kurt Mehlhorn's book.
	www.mpi-sb.mpg.de /~sanders/courses/algdat03/index.html (650 words)

	CS 740C - Spring 2000
		Consider the idea of using a hash function in the van Emde Boas “priority queue” to reduce the space requirements.
		Assume that hashing a key (or any other value) to a location takes O(1) time and space for the hash table is proportional to the size of the data entries and keys,.
		How can you use such hashing to implement the van Emde Boas method efficiently?
	se.uwaterloo.ca /~imunro/cs840/assign1.htm (622 words)

	GameDev.Net Discussion Forums - User Profile (Site not responding. Last check: 2007-10-30)
		Hi all, I have a multipass rendering that first renders the scene with a reflected camera to the framebuffer, then copies it to a texture with glCopyTexImage2D, and then renders the scene adressing this texture (with projective mapping, but no mat...
		Does anyone knows where I can find a c++ implementation of the van Emde-Boas priority queue (push and pop in O(log log n) instead of standard O(log n)) ?
		I'm currently using STL priority queue but this is a serious bottleneck for my needs.
	www.gamedev.net /community/forums/profile.asp?mode=display&id=29351 (687 words)

	Intro to Algorithms: BIBLIOGRAPHY
		The Analysis of a Practical and Nearly Optimal Priority Queue.
		An efficient algorithm for determining the convex hull of a finite planar set.
		[190] Robert E. Tarjan and Jan van Leeuwen.
	www.personal.kent.edu /~mlu3/CSCourses/AdvAlgorithms/CLR-BOOK/books/book6/biblio.htm (1652 words)

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