Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: finite maze solving algorithm
Replies: 9   Last Post: Dec 3, 2004 7:09 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Keith A. Lewis

Posts: 113
Registered: 12/10/04
Re: finite maze solving algorithm
Posted: Nov 30, 2004 2:25 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply


Kevin Saff <news@kevin.saff.net> writes in article <I808DL.GF2@news.boeing.com> dated Tue, 30 Nov 2004 18:22:32 GMT:
>Michael Michalchik wrote:
>> I was wondering if anyone knows if all possible topologies of finite
>> 2d mazes can be solved by a finite algorithm. For example, we know
>> that all fully connected mazes can be solved by picking a wall and
>> exhaustively following it. Can a general solution work for all mazes
>> including the ones that are piecewise disconnected? If this is
>> possible, is the general solution a solved problem?
>
>Interesting. How are you defining a maze, here? Usually, I think of a
>maze as just a graph, which you can solve using something simple like
>depth-first search, regardless of whether it is planar. It is probably
>better to think in terms of connectedness of rooms than connectedness of
>walls.

The basic problem with a depth-first search is the chance you'll get into a
loop going around and around a disconnected piece. The problem can be
avoided by making a rule to never cross your own path.

Or is there something more that I'm missing?

--Keith Lewis klewis {at} mitre.org
The above may not (yet) represent the opinions of my employer.




Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.