A Van Emde Boas tree (or Van Emde Boas priority queue), also known as a vEB tree, is a tree data structure which implements an associative array with m-bit integer keys. It performs all operations in O(log m) time. Notice that m is the size of the keys — therefore O(log m) is O(log log n) in a tree where every key below n is set, exponentially better than a full self-balancing binary search tree. They also have good space efficiency when they contain a large number of elements, as discussed below. They were invented by a team led by Peter van Emde Boas in 1975.
Read more about Van Emde Boas Tree: Supported Operations, How It Works
Famous quotes containing the words van and/or tree:
“A classic is a book that doesn’t have to be written again.”
—Carl Van Doren (1885–1950)
“Is not disease the rule of existence? There is not a lily pad floating on the river but has been riddled by insects. Almost every shrub and tree has its gall, oftentimes esteemed its chief ornament and hardly to be distinguished from the fruit. If misery loves company, misery has company enough. Now, at midsummer, find me a perfect leaf or fruit.”
—Henry David Thoreau (1817–1862)