Splay Tree - Advantages

Advantages

Good performance for a splay tree depends on the fact that it is self-optimizing, in that frequently accessed nodes will move nearer to the root where they can be accessed more quickly. The worst-case height—though unlikely—is O(n), with the average being O(log n). Having frequently used nodes near the root is an advantage for nearly all practical applications (also see Locality of reference), and is particularly useful for implementing caches and garbage collection algorithms.

Advantages include:

  • Simple implementation—simpler than other self-balancing binary search trees, such as red-black trees or AVL trees.
  • Comparable performance—average-case performance is as efficient as other trees.
  • Small memory footprint—splay trees do not need to store any bookkeeping data.
  • Possibility of creating a 'persistent data structure' version of splay trees—which allows access to both the previous and new versions after an update. This can be useful in functional programming, and requires amortized O(log n) space per update.
  • Working well with nodes containing identical keys—contrary to other types of self-balancing trees. Even with identical keys, performance remains amortized O(log n). All tree operations preserve the order of the identical nodes within the tree, which is a property similar to stable sorting algorithms. A carefully designed find operation can return the leftmost or rightmost node of a given key.

Read more about this topic:  Splay Tree

Famous quotes containing the word advantages:

    The advantages found in history seem to be of three kinds, as it amuses the fancy, as it improves the understanding, and as it strengthens virtue.
    David Hume (1711–1776)

    ... is it not clear that to give to such women as desire it and can devote themselves to literary and scientific pursuits all the advantages enjoyed by men of the same class will lessen essentially the number of thoughtless, idle, vain and frivolous women and thus secure the [sic] society the services of those who now hang as dead weight?
    Sarah M. Grimke (1792–1873)

    Can you conceive what it is to native-born American women citizens, accustomed to the advantages of our schools, our churches and the mingling of our social life, to ask over and over again for so simple a thing as that “we, the people,” should mean women as well as men; that our Constitution should mean exactly what it says?
    Mary F. Eastman, U.S. suffragist. As quoted in History of Woman Suffrage, vol. 4 ch. 5, by Susan B. Anthony and Ida Husted Harper (1902)