Asymptotic complexity of .NET collection classes

Igor Brejc picture Igor Brejc · May 12, 2009 · Viewed 16.1k times · Source

Are there any resources about the asymptotic complexity (big-O and the rest) of methods of .NET collection classes (Dictionary<K,V>, List<T> etc...)?

I know that the C5 library's documentation includes some information about it (example), but I'm interested in standard .NET collections too... (and PowerCollections' information would also be nice).

Answer

Marc Gravell picture Marc Gravell · May 12, 2009

MSDN Lists these:

etc. For example:

The SortedList(TKey, TValue) generic class is a binary search tree with O(log n) retrieval, where n is the number of elements in the dictionary. In this, it is similar to the SortedDictionary(TKey, TValue) generic class. The two classes have similar object models, and both have O(log n) retrieval. Where the two classes differ is in memory use and speed of insertion and removal:

SortedList(TKey, TValue) uses less memory than SortedDictionary(TKey, TValue).

SortedDictionary(TKey, TValue) has faster insertion and removal operations for unsorted data, O(log n) as opposed to O(n) for SortedList(TKey, TValue).

If the list is populated all at once from sorted data, SortedList(TKey, TValue) is faster than SortedDictionary(TKey, TValue).