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Dynamic Algorithms : ウィキペディア英語版
Dynamic problem (algorithms)

Dynamic problems in computational complexity theory are problems stated in terms of the changing input data. In the most general form a problem in this category is usually stated as follows:
* Given a class of input objects, find efficient algorithms and data structures to answer a certain query about a set of input objects each time the input data is modified, i.e., objects are inserted or deleted.
Problems of this class have the following measures of complexity:
* Space - the amount of Memory space required to store the data structure;
* Initialization time - time required for the initial construction of the data structure;
* Insertion time - time required for the update of the data structure when one more input element is added;
* Deletion time - time required for the update of the data structure when an input element is deleted;
* Query time - time required to answer a query;
* Other operations specific to the problem in question
The overall set of computations for a dynamic problem is called a dynamic algorithm.
Many algorithmic problems stated in terms of fixed input data (called static problems in this context and solved by static algorithms) have meaningful dynamic versions.
== Special cases ==
Incremental algorithms, or Online algorithms, are algorithms in which only additions of elements are allowed, possibly starting from the empty/trivial input data.
Decremental algorithms are algorithms in which only deletions of elements are allowed, starting with an initialization of a full data structure.
If both additions and deletions are allowed, the algorithm is sometimes called fully dynamic.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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