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	Combinatorial optimization - Wikipedia, the free encyclopedia
		Combinatorial optimization is a branch of optimization in applied mathematics and computer science, related to operations research, algorithm theory and computational complexity theory that sits at the intersection of several fields, including artificial intelligence, mathematics and software engineering.
		Combinatorial optimization algorithms solve instances of problems that are believed to be hard in general, by exploring the usually-large solution space of these instances.
		Combinatorial optimization algorithms are often implemented in an efficient imperative programming language, in an expressive declarative programming language such as Prolog, or some compromise, perhaps a functional programming language such as Haskell, or a multi-paradigm language such as LISP.
	en.wikipedia.org /wiki/Combinatorial_search (431 words)

	Combinatorial search (Site not responding. Last check: 2007-10-01)
		Combinatorial search is a branch of computerscience that sits at the intersection of several fields, including artificial intelligence, mathematics and software engineering.
		Combinatorial search algorithms solve instances of problems that are believed to be hard in general, byexploring the usually-large solution space of these instances.
		Combinatorial search algorithms are normally implemented in an efficient imperative programming language, in an expressive declarative programming language such as Prolog, or somecompromise, perhaps a functional programming languagesuch as LISP or Haskell.
	www.therfcc.org /combinatorial-search-37758.html (184 words)

	Best-first search - Wikipedia, the free encyclopedia
		Best-first search is a search algorithm which optimizes depth-first search by expanding the most promising node chosen according to some rule.
		Other authors have used best-first search to refer specifically to a search with a heuristic that attempts to predict how close the end of a path is to a solution, so that paths which are judged to be closer to a solution are extended first.
		Best-first algorithms are often used for pathfinding in combinatorial search.
	en.wikipedia.org /wiki/Best-first_search (256 words)

	Combinatorics - Wikipedia, the free encyclopedia
		Muslim mathematicians later studied combinatorial analysis from at least the 13th century.
		Two of the most prominent combinatorialists of recent times were the prolific problem-raiser and problem-solver Paul Erdős, who worked mainly on extremal questions, and Gian-Carlo Rota, who helped to formalize the subject beginning in the 1960s, mostly in enumeration and algebraization.
		There are many combinatorial patterns and theorems related to the structure of combinatoric sets.
	en.wikipedia.org /wiki/Combinatorial (2346 words)

	Definition of search
		1: '''In Search of the Miraculous: Fragments of an Unknown Teachi...
		Combinatorial search algorithms achieve this by reducing the effective...
		Combinatorial search algorithms are typically concerned with problems...
	www.wordiq.com /dictionary/search.html (717 words)

	The Combinatorial Search Space
		In these methods, the search is repeated, from different initial conditions or making different random choices, until either a solution is found or some specified limit on the number of trials is reached.
		Other search techniques attempt to build solutions starting from smaller sets, often by a process of extending a consistent set until either a solution is found or no further consistent extensions are possible.
		Often, heuristics are used to make the search decisions depend on the problem structure hoping to identify changes most likely to lead to a solution and avoid unproductive regions of the search space.
	www.cs.cmu.edu /afs/cs/project/jair/pub/volume4/hogg96a-html/node4.html (958 words)

	USAF Funds Study Of 'Hard' Computer Problems
		Combinatorial problems can be described as setting values for a number of variables that must meet certain constraints, Gomes explains.
		For combinatorial problems, a graph of the possible combinations versus the time they take to compute is often quite flat in the middle, with long tails, meaning there are almost as many extreme cases as average ones.
		In particular, Gomes says, combinatorial problems lend themselves to parallel processing so that several random starting points can be tested at the same time, with the whole process ending as soon as one of the processors finds a solution.
	www.eurekalert.org /pub_releases/1999-04/CUNS-UFSO-220499.php (790 words)

	[No title]
		Branch and bound and heuristic search algorithms, and combinatorial search algorithms in general, have been implemented on a variety of shared memory and distributed memory architectures.
		The central objective of this project is to study the parallelisation of algorithms for combinatorial search on distributed memory architectures using the AP1000 as the experimental vehicle.
		A second area of research is scalability of combinatorial search algorithms on distributed memory architectures.
	cap.anu.edu.au /cap/reports/report/search.html (1162 words)

	Research at HP Labs : Information Dynamics Lab : Research Areas : Quantum Computing
		A new quantum algorithm for combinatorial search, adjusting amplitudes based on number of conflicts in search states, performs well, on average, for hard random satisfiability problems near a phase transition in search difficulty.
		A quantum algorithm for general combinatorial search that uses the underlying structure of the search space to increase the probability of finding a solution is presented.
		We introduce an algorithm for combinatorial search on quantum computers that is capable of significantly concentrating amplitude into solutions for some NP search problems, on average.
	www.hpl.hp.com /shl/projects/quantum (1359 words)

	Search in TutorGig Encyclopedia
		Search and Destroy may refer to Search and Destroy song Search and Destroy, a song originally recorded by Iggy and the Stooges RE Search Search & Destroy, a punk rock fanzine Search & Destroy Search..
		A search index, or more precisely a full text index, is the database which a full text search full text search engine uses to respond to the query issued by the user computing user.
		Desktop search is the name for the emerging field of search tools which search the contents of a user s own computer files, rather than searching the Internet..
	www.tutorgig.com /es/Search (860 words)

	C&EN: COVER STORY - INORGANICS GO COMBINATORIAL
		Combinatorial synthesis of thin films also has been used in the search for other types of solid-state functional materials, including superconductors, dielectrics, phosphors, and heterogeneous catalysts.
		Combinatorial chemistry is also speeding up the search for new metal-based catalysts.
		But the Delft researchers recognized that a combinatorial approach could be used to synthesize a library of trisilanols faster and at lower cost than the traditional route.
	pubs.acs.org /cen/coverstory/7935/7935combinatorial2.html (3017 words)

	Combinatorial Search and Heuristic Methods
		By using exhaustive search techniques, we can solve small problems to optimality, although the time complexity may be enormous.
		For problems that are too large to contemplate using brute-force combinatorial search, we introduce heuristic methods such as simulated annealing.
		Combinatorial search, augmented with tree pruning techniques, can be used to find the optimal solution of small optimization problems.
	www2.toki.or.id /book/AlgDesignManual/BOOK/BOOK2/NODE83.HTM (314 words)

	Amazon.ca: Combinatorial Algorithms: Books: Donald L. Kreher,Douglas R. Stinson,Krehler (Site not responding. Last check: 2007-10-01)
		Combinatorial algorithms are widely used in a diverse set of applications areas from engineering, the biological and physical sciences, mathematics and computation, economics, and so on.
		In addition to their applied nature, combinatorial algorithms often rely on sophisticated results in combinatorics and algebra and on clever data structures.
		Numerous strong texts on graph algorithms are concerned with the analysis of properties of graphs rather than the generation and search for combinatorial objects.
	www.amazon.ca /exec/obidos/ASIN/084933988X (706 words)

	Combinatorial search (Site not responding. Last check: 2007-10-01)
		I searched the garden for the keys and found them in the vegetable patch.
		The search marketing company Fortune Interactive conducted a study in which they wanted to find out what factors influence web site rankings on the three major search engines.
		All savvy search engine marketers know how to create a search-friendly site that can be easily read by a search engine spider, or bot.
	www.serebella.com /encyclopedia/article-Combinatorial_search.html (1108 words)

	Computer Science - CS 443 Advanced Artificial Intelligence: Combinatorial Search (4 credits) (Site not responding. Last check: 2007-10-01)
		Students should understand complete and stochastic techniques for brute-force and heuristically guided single-agent search in combinatorial spaces, and should be able to apply these techniques to the solution of real-world problems.
		Identify and distinguish combinatorial search spaces, and design appropriate search space representations.
		Explain the role of depth-first and breadth-first search in combinatorial spaces.
	www.cs.pdx.edu /course.php?cid=171 (339 words)

	Computational Electronics/Optoelectronics - Vadim Smelyanskiy (Site not responding. Last check: 2007-10-01)
		Combinatorial search and optimization problems are frequently encountered in practice, with distinct relevance to many scientific and engineering applications.
		Most of the problems in combinatorial optimization are NP-hard which means that no classical algorithm is known that solves the problem significantly faster then exhaustive search of the domain.
		The crucial difference between the quantum adiabatic algorithm and classical heuristics such as simulated annealing is related to the possibility of quantum tunneling between the spin configurations that are close in the energy space but can be far away in the configuration space.
	www.ipt.arc.nasa.gov /smelyanskiy.html (820 words)

	[No title]
		Both depth-first and best-first search algorithms have been implemented with receiver-initiated workload balancing and preliminary decomposition of the search space.
		The travelling salesperson problem adds a problem where the processing time per node in the search tree is typically higher than the other problems used while the n-queens problem provides a standard backtracking problem without a global best-so-far solution.
		Finally, this problem is of interest as the search trees associated with it are `flat and wide' thus providing a contrast to the search trees resulting from previously studied problems.
	cap.anu.edu.au /cap/reports/report95/search.html (1299 words)

	CP-AI-OR'02 School on Optimization (notes)
		In this lecture I'll discuss how the study of the structure of combinatorial search problems and related phenomena is changing the way we characterize the computational complexity of combinatorial problems, beyond the worst-case complexity notion.
		A first set of such hybrids belongs to the family of local search methods (going from one solution to a neighbor one) and use CP as a way to efficiently explore large neighborhoods with side constraints.
		A second set belongs to the family of global search (tree search) methods and use LS as a way to improve some of the nodes of the search tree or to explore a set of paths close to the path selected by a greedy algorithm in the search tree.
	www.emn.fr /x-info/cpaior/document-school.html (1134 words)

	Project III - DEZYMER Site Search. (Site not responding. Last check: 2007-10-01)
		For each of these backbone anchor positions, and for each rotamer of the anchor, nearby residue positions are examined for substitutions and rotamer combinations that satisfy the geometric criteria.
		In a full site search, all satisfactory rotamers are reported, whereas in the more commonly used unique site search, only the first one encountered with a given sequence is reported.
		The site search is usually conducted without considering the neighboring, unmutated, side chains in the structure.
	www.scripps.edu /research/metallo/1997/p3/node6.html (263 words)

	Parallel Algorithms for Combinatorial Search Problems
		Abstract: This thesis is a theoretical study of parallel algorithms for combinatorial search problems.
		In this thesis we present parallel algorithms for backtrack search, branch-and-bound computation and game-tree search.
		We first study backtrack search that enumerates all solutions to a combinatorial problem.
	techreports.lib.berkeley.edu /accessPages/CSD-89-543.html (241 words)

	FrontPage - search2006
		Use understanding of combinatorial state spaces to design or select search techniques for solving instances of combinatorial problems.
		Implement combinatorial search algorithms efficiently and cleanly in a reasonable programming language.
		A gradated series of homework projects applying combinatorial search to interesting problems will be 40% of course grade.
	wiki.cs.pdx.edu /~search2006 (1017 words)

	Seminar by Julia Abrahams (Site not responding. Last check: 2007-10-01)
		The Huffman code tree can also be interpreted as the solution to a particular combinatorial search problem: given a set of items, one of which is distinguished in some fashion, conduct a sequence of binary tests to identify this item while employing the minimum average number of tests.
		In the search tree, the sequence of test results is identified with a path through the tree.
		There are many code and search problems like the Huffman problem, but with additional constraints or cost variables imposed or incorporating alternative or secondary performance criteria, which suggest interesting combinatorial optimization problems on weighted trees.
	www.cs.brandeis.edu /~liuba/abstracts/abrahams.html (160 words)

	No Title (Site not responding. Last check: 2007-10-01)
		Several textbooks on combinatorial algorithms were written in the 1970s, and are now out-of-date.
		We felt that a new textbook on combinatorial algorithms, that emphasizes the basic techniques of generation, enumeration and search, would be very timely.
		Chapters 2 and 3 are concerned with the generation of elementary combinatorial objects such as subsets and permutations, to name two examples.
	www.math.mtu.edu /~kreher/cages/PREF/PREF.html (521 words)

	Learn more about Combinatorial search in the online encyclopedia. (Site not responding. Last check: 2007-10-01)
		Learn more about Combinatorial search in the online encyclopedia.
		Enter a phrase or search word in the box below.
		You can enter multiple phrases at a time by putting a comma between each word.(e.g.
	www.onlineencyclopedia.org /c/co/combinatorial_search.html (375 words)

	1999 COMBI - How to Effectively Utilize Combinatorial Approaches for New Materials Discovery:
		Combinatorial approaches have been highly successful in pharmaceutical applications and are just emerging within the chemical and electronics industries.
		I shall discuss the emerging field of combinatorial materials science, which is the evaluation of a very large number of materials using simultaneous or automated parallel synthetc methods coupled with high-throughput screening systems.
		The extension of conventional combinatorial chemistry approaches to the design of polymers is not straightforward since the characterization of important polymer properties, even within the framework of an initial screen, usually requires gram amounts of pure polymer.
	www.knowledgepress.com /events/5151114.htm (1620 words)

	Research, Sean L. Forman (Site not responding. Last check: 2007-10-01)
		HOPS defines a search space of potential conformations using a full protein representation along with a set of discrete torsion angles.
		Nagging takes advantage of the random nature of combinatorial optimizaton by, for example, permuting the order in which nodes are searched within a search tree.
		It is a general purpose optimization tool and we have implemented it for alpha-beta minimax search, the traveling salesman problem and other combinatorial search problems.
	www.sju.edu /%7esforman/research (547 words)

	Aarts, E. and Lenstra, J.K., eds.: Local Search in Combinatorial Optimization.
		In the past three decades, local search has grown from a simple heuristic idea into a mature field of research in combinatorial optimization that is attracting ever-increasing attention.
		Local search is still the method of choice for NP-hard problems as it provides a robust approach for obtaining high-quality solutions to problems of a realistic size in reasonable time.
		Local Search in Combinatorial Optimization covers local search and its variants from both a theoretical and practical point of view, each topic discussed by a leading authority.
	pup.princeton.edu /titles/7564.html (236 words)

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