count of paths from A[a,b] to A[c,d] without duplicating?

Posted by Sorush Rabiee on Stack Overflow See other posts from Stack Overflow or by Sorush Rabiee
Published on 2010-03-23T14:56:35Z Indexed on 2010/03/23 15:03 UTC
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algorithm

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discrete-mathematics

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mathematics

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c++

I write a sokoban solver for fun and practice, it uses a simple algorithm (something like BFS).

now i want to estimate its running time ( O and omega). but i need to know how to calculate count of paths from a vertex to another in a network. each path from a to b is a sequence of edges with no circuit.

for example this is a correct path:

http://www.imgplace.com/viewimg143/4789/501k.png

but this is not:

http://www.imgplace.com/viewimg143/6140/202.png

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