Timeline for Counting lattice points on an n-simplex
Current License: CC BY-SA 2.5
8 events
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Jan 6, 2010 at 15:01 | history | edited | Richard | CC BY-SA 2.5 |
Added note that dimension must be fixed to have a polynomial time algorithm.
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Jan 6, 2010 at 14:51 | comment | added | Richard | David, good point about Barvinok's algorithm. I'll update the post when/if I run across the reference for the problem being #P-complete. | |
Jan 6, 2010 at 12:13 | comment | added | David E Speyer | And, yes, if you want to solve problems like this in practice, I recommend LattE. | |
Jan 6, 2010 at 12:13 | comment | added | David E Speyer | One should note that Barvinok's algorithm in polynomial in $\log a_i$, for fixed $n$; it is exponential in $n$. I think that, if we are allowed to change $n$, this problem should be #P complete, but I don't know a reference. | |
Jan 6, 2010 at 1:32 | history | edited | Richard | CC BY-SA 2.5 |
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Jan 6, 2010 at 1:21 | history | edited | Richard | CC BY-SA 2.5 |
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Jan 5, 2010 at 14:18 | history | edited | Richard | CC BY-SA 2.5 |
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Jan 5, 2010 at 13:51 | history | answered | Richard | CC BY-SA 2.5 |