Re: graph isomorphisms

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Mok-Kong Shen (mok-kong.shen@stud.uni-muenchen.de)
Fri, 14 Aug 1998 09:42:10 +0100


bram wrote:

> That technique requires the use of a big number class, and isn't
> horrendously fast (it's n^3 for each node, n^4 for the whole thing), but
> it's still polynomial, and for it not to work would require very, very
> purposeful construction of the graph.
>
> I personally would just throw in the towel beforehand and view finding
> hard graph isomorphism problems as a lost cause.

The problem of graph isomorphism is not the solubility but to devise
a method that is fast enough for practical cases. Some twenty years
ago I wrote a program for a friend to determine whether a certain
sub-structure is present in some organic molecules. There one has
to match nodes with the same atom. The program worked for the intended
purpose but I don't think it would be practical to run it even today
on graphs having several thousands of nodes.

M. K. Shen

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