Date: Jan 5, 2013 12:27 PM
Author: David Bernier
Subject: Re: Just finished the fastest ever, general purpose sorting algorithm.
On 01/05/2013 10:22 AM, JT wrote:
> I do intend to implement this one, i think it will beat any other
> algorithm for any amount of elements *and element size* when sorting
> above 2000-3000 elements. I can not guarantee it will not be faster at
> smaller amount of data too...
> By creating a pointer binary tree with each leaf holding a
> integer, you move the binary numbers to the tree from least digit to
> highest using left legs for 0's and right for 1's. (Basicly creating
> leaves for new numbers, and at last digit you add 1 to the leaf
> So after you moved all values into the tree and created all the
> you simply read out all the none zero values holded into the slot
> the leaves within the binary tree.
> Now to the problem and solution, using a tree reading in the values,
> they will not be read in from lowest to highest because the legs will
> differ in length and they will be unordered in the tree. The solution
> to the problem we create a single leg (heap) ***for each digit***, so
> numbers with digit 9,10,11.... digits and so on run in their own legs.
> Our binary tree will be sorted as we read in the values and we just
> need to read it out from left to right. This is probably within the
> first courses of information theory, so the question is why have this
> not been applied to sorting problems before?
> Can anyone estimate the time complexity of this algorithm, and it seem
> to be a general purpose algorithm, the biggest challenge will be to
> find a programming language that have dynamic memory for data
> structures of binary tree type.
> Is this also a radix type of sorting?
I don't fully understand your problem statement. The legs are probably
what in English are called branches of the tree.
In a course on file system structures, we studied AVL trees,
which I think are useful in huge databases, for faster access
by "key number", for example social security number, employee number,
membership number, etc.
On Wikipedia, AVL trees (& References at the end of the article).
< http://en.wikipedia.org/wiki/AVL_tree > .