Question about None
tjreedy at udel.edu
Sun Jun 14 19:36:11 EDT 2009
Paul LaFollette wrote:
> Thank you all for your thoughtful and useful comments. Since this has
> largely morphed into a discussion of my 3rd question, perhaps it would
> interest you to hear my reason for asking it.
> John is just about spot on. Part of my research involves the
> enumeration and generation of various combinatorial objects using what
> are called "loopless" or "constant time" algorithms. (This means that
> the time required to move from one object to the next is bounded by a
> constant that is independent of the size of the object. It is related
> to following idea: If I generate all of the possible patterns
> expressible with N bits by simply counting in binary, as many as N
> bits may change from one pattern to the next. On the other hand if I
> use Gray code only one bit changes from each pattern to the next.
But the number of bits you must examine to determine which to change is
bounded by N and increases with N.
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