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・ Contract year phenomenon
・ Contract zoning
・ Contracted (film)
・ ContractExpress
・ Contractible space
・ Contractile vacuole
・ Contractility
・ Contracting Officer
・ Contracting Officer's Technical Representative
・ Contraction
・ Contraction (grammar)
・ Contraction (operator theory)
・ Contraction alkalosis
・ Contraction and Convergence
・ Contraction band necrosis
Contraction hierarchies
・ Contraction mapping
・ Contraction principle
・ Contraction principle (large deviations theory)
・ Contraction stress test
・ Contractor
・ Contractor management
・ Contractor ratings
・ Contractors and General Workers Trade Union
・ Contractors Bonding v Snee
・ Contracts (Rights of Third Parties) Act 1999
・ Contracts House
・ Contracts of Employment (Indigenous Workers) Convention
・ Contracts of Employment (Indigenous Workers) Convention, 1939 (shelved)
・ Contracts of Employment (Indigenous Workers) Convention, 1947 (shelved)


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Contraction hierarchies : ウィキペディア英語版
Contraction hierarchies
In applied mathematics, the method of contraction hierarchies is a technique to speed up shortest-path routing by first creating precomputed "contracted" versions of the connection graph. It can be regarded as a special case of "highway-node routing".
Contraction hierarchies can be used to generate shortest-path routes much more efficiently than Dijkstra's algorithm or previous highway-node routing approaches,〔 and is used in many advanced routing techniques.〔.〕 It is publicly available in open source software to calculate routes from one place to another.
==The algorithm==
In general, scalable map routing algorithms have two distinct phases: preprocessing of the original graph (which may take more than an hour to finish) and queries (less than a second). Contraction hierarchy is an extreme case of "hierarchy" approach, which generates a multi-layered node hierarchy in the preprocessing stage. In CH every node in the graph is represented as its own level of hierarchy. This can be achieved in many ways; one simple way is simply to label each node in order of some enumeration from 1 to |N|. More sophisticated approaches might consider the type of road (highway vs minor road, etc.).〔(【引用サイトリンク】title=Efficient Route Planning, Lectures )〕〔 (CC-BY)〕

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