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I am just wondering: is it me or has there recently been a major (quantitative) decline in combinatorial and combinatorial-algebraic (representation theory, Hopf algebras, invariant theory, Lie algebras, even advanced linear algebra...) questions on MO? Is it that some people have left MO, or are busy, or just have got all their nagging questions answered and now can sleep well?
It would be interesting to see how tag frequencies vary over time. I searched a bit to see if this has already been culled from the dumps, and did not find a direct hit. Here are three related discussions, the closest I could find:
Very nice, Yla! Aside from the rough stability over time, as you note, two features surprised me:
My guess is the latter is due to the influence of MSE. Perhaps the activity level in MO overall is decreasing?
I do think the categories could group the tags differently. For example, number theory should likely be separated from algebra. But regardless, very interesting data!
@Joseph O'Rourke: I think the top category is Algebra (the colors are similar). The total tag count of co.combinatorics plus graph-theory is smaller than that of nt.number-theory and ag.algebriac-geometry individually(!), both in Algebra. And then there is gr.group-theory almost as large as co in Algebra too.
@quid: Oh, I think I have just learned I am partially color blind! Thanks for clarifying. That makes much more sense!
@Joseph: I think you were fooled (as I also initially was) by the fact that Combinatorics is above Algebra in the key, but the relationship in the graph is the opposite.
I agree with Michael Greinecker. In particular if one post has two tags from the same category, say, nt and prime-numbers.
Thanks for the statistics, Yla! So it seems that all activity on MO is decreasing, not just the one I care about. I wouldn't blame this completely on M.SE, since not many people would post a Hopf algebra or representation theory question (beyound "please clarify this definition" or "what textbooks to read") on M.SE. Maybe the activity we had here a year ago was anomally high, due to newcomers posting all of their unanswered questions that arose during their previous work history?
@darijgrinberg: I only found two MSE posts on Hopf algebras. There are more (233) tagged representation-theory representation theory questions, but I am in no position to judge their depth (or whether they are correctly tagged).
Oh, for some reason I searched for the words rather than the tag...
Still, most of the representation theory questions on M.SE are undergraduate level. I can't say there was much migration from MO to M.SE here.
@Yla: Thanks for reworking the data! Still very interesting...
Actually, I did some tag clustering at the end of the summer in the hope of detecting which arxiv tags were systematically underused. (lo.logic was the only really bad case.) Unfortunately, the data just suffered a major incident, but it will be recovered from backup drives within a couple of days. I will post the details as soon as I regain access to them.
Is it possible to add the tag name by the graph itself? I am a color blind and it is nearly impossible for me to match the graph to the tags family.
Thanks! :-)
I would second the suggestion for separating out category theory from foundations. They do overlap in practice, but on MO one can tag a post ct.category-theory and set-theory and forcing (for instance) that falls in the overlap, and tag a post ct.category-theory and schemes and sheaves if it overlaps with algebraic geometry and so on.
Thanks, Yla, for these graphs! (talk to you soon :)
On a graphical design note, changing the lines with similar colours to be dashed, dotted, solid as necessary will help a lot. And I suppose 'similar' might also need to include red-green and other combinations indistinguishable to colour blind people. Alternatively, don't use green at all.
Personally the red-green issue is a bit less of a problem for me at most of the time, my color blindness is completely atypical and it is pink that I cannot see well. This makes many shades of similar colors (and less similar) somewhat hard to distinguish.
Combinatorics and Algebra seem to be the exact same color, so do applied and statistics, geometry and number theory while different are too far from the graph itself and I cannot tell which line is which tag.
David Roberts suggestion to use dashed and dotted lines as well is a wonderful idea.
Yla, I will email you this weekend with details.
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