Definition: An ordered tree of order k ≥ 0, that is Bk, whose root has k children where the ith child is binomial tree of order k-i.
See also binomial heap.
Note: A Bk tree has 2k nodes, the height is k, and there are k choose i nodes at depth i.
Adapted from [CLR90, pages 401 and 402]. CLR90 numbers the children k-1, k-2, ..., 0, making child i a binomial tree of order i. This definition numbers the children from 1 to k.
Binomial heap in Wikipedia.
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Entry modified 9 August 2007.
HTML page formatted Fri Feb 23 10:06:07 2018.
Cite this as:
Paul E. Black, "binomial tree", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 9 August 2007. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/binomialtree.html