@graveolens something you might like: https://en.wikipedia.org/wiki/Tutte_polynomial … shows the 2-variable chromatic polynomial (an invariant of stuff) in a nice 3-D plot. I still wonder what it means (if anything) to think about complex analytics around invariant polynomials…
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Replying to @isomorphisms @graveolens
I'm wondering what the Tutte polynomial of a typical random cubic graph woud be like. Perhaps there's some universality?
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Replying to @isomorphisms @graveolens
The point is to study random regular graphs: 3 is the smallest valency where complexity could occur for regular graphs; and it's easy for us to investigate them on a computer, i.e. a random graph would more clearly reveal the behavior of the random ensemble.
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Replying to @LeechLattice @graveolens
@graveolens the ℂ → ℂ versions of these Tutte polynomials are unsurprisingly better…pic.twitter.com/OkVbYM5oSF
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Replying to @isomorphisms @graveolens
…as a general rule, anything Owen does is worth imitating, even if poorly…pic.twitter.com/6fJyJkotwZ
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Replying to @isomorphisms @graveolens
slices of Petersen at y=1 and x=1…
#Desarguespic.twitter.com/YySl9OQOg2
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analytic combinatorics
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Replying to @graveolens
And that. And Ramanujan theta. (http://www.math.ucla.edu/~wdduke/preprints/mocktheta.pdf …) And…
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