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Plot a semi-lattice so that it has symmetry?

Attachments:
DrawingALattice.nb
POSTED BY: Mark Tuttle
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The usage System`Graph fixed it.

Now I can load Combinatorica (the only way I seem to be able to get the Compositions function), and then using the System version of Graph your version works great!
POSTED BY: Mark Tuttle

Re-starting does nothing helpful.

But, you're correct; apparently loading the Combinatorica package interferes with the built-in Graph function. This is very naughty - that this happens - but I'm very impressed that you know about this problem.

Now, instead of loading the hole package, trying to just use a function from Combinatorica did not do what I hoped, e.g., (I struggle with the evaluation rules of Mathematica) ...

In[51]:= (counts1X2sList = Map[Combinatorica`Compositions[#, 2] &, Range[0, 5]])

Out[51]= {CombinatoricaCompositions[0, 2], CombinatoricaCompositions[1, 2], CombinatoricaCompositions[2, 2], CombinatoricaCompositions[3, 2], CombinatoricaCompositions[4, 2], CombinatoricaCompositions[5, 2]}
POSTED BY: Mark Tuttle

The paclet server should be fixed now.

The Graph symbol is built-in, and it is very strange that it does not work. I cannot reproduce the problem. Try restarting the kernel (i.e. Quit[]). Perhaps you loaded some packages that may conflict with Graph, such as Combinatorica?
POSTED BY: Szabolcs Horvát

Download+Install seems to work - thank you!

But Graph function still not defined - see attached. Thank you.

This still may be a user error on my part, obviously.

Attachments:
SemiLatticeDisplay.nb
POSTED BY: Mark Tuttle

I was able to download the file from Github, if that helps.
POSTED BY: Mark Tuttle

I am unable to install IGraphM ... I assume this is an error on my part. Please help. Thank you. Here's what happens ...

In[87]:= Needs["PacletManager`"]

In[88]:= PacletInstall["~/Downloads/IGraphM-0.3.99.1.paclet"]

During evaluation of In[88]:= PacletInstall::fnotfound: Paclet file /Users/marktuttle/Downloads/IGraphM-0.3.99.1.paclet not found.

Out[88]= $Failed

In[89]:= PacletInstall["IGraphM", "Site" -> "http://raw.githubusercontent.com/paclets/PacletServer/master"]

During evaluation of In[89]:= PacletInstall::notavail: No paclet named IGraphM is available for download from any currently enabled paclet sites.

Out[89]= $Failed
POSTED BY: Mark Tuttle

Thanks for letting me know about the problems.

In[88]:= PacletInstall["~/Downloads/IGraphM-0.3.99.1.paclet"]

During evaluation of In[88]:= PacletInstall::fnotfound: Paclet file /Users/marktuttle/Downloads/IGraphM-0.3.99.1.paclet not found.

I believe this could only happen if you provided an incorrect file path. You could type PlacetInstall[], position the cursor within the [], then use Insert -> File Path... (not Insert -> File...) from the menu to insert the correct path to the downloaded file.

In[89]:= PacletInstall["IGraphM", "Site" -> "http://raw.githubusercontent.com/paclets/PacletServer/master"]

During evaluation of In[89]:= PacletInstall::notavail: No paclet named IGraphM is available for download from any currently enabled paclet sites.

This second problem is not due to you doing something incorrectly. Something is wrong with the paclet server that was being used. I reverted to the old installation instructions, which should work, and should be the simplest way to install:

Please let me know if it worked.
POSTED BY: Szabolcs Horvát

I agree, this is same hypothesis I came up with.

It's solving a different problem, and important problem, but a different one.

--Mark
POSTED BY: Mark Tuttle

P.P.S. The reason why GraphLayout -> "LayeredEmbedding" doesn't work well could be that it effectively lays out a spanning tree. This is just a guess. Take a look at FindSpanningTree[rules].
POSTED BY: Szabolcs Horvát
POSTED BY: Szabolcs Horvát

Very helpful! Thank you. That said, I find the solutions surprisingly complex. Graph layout is a tough problem, but I'm wrestling with how to make the most basic case as simple as I can. Again, as you observe, the StackExchange stuff has a wealth of information.
POSTED BY: Mark Tuttle
POSTED BY: Szabolcs Horvát
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