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Mar 9, 2023 at 1:53 comment added Sam Hopkins There was recent progress on Fox's conjecture: arxiv.org/abs/2303.04733. (This paper is sort of along the lines of what I suggested in the previous comment - using a version of the Tutte polynomial for a certain kind of graphical representation of the knot, and then applying the powerful machinery of Lorentzian polynomials.)
Jul 9, 2022 at 20:49 comment added Sam Hopkins Is it possible to rephrase this conjecture as about coefficients of Tutte polynomials of graphs?
Jul 8, 2013 at 22:48 history edited Ricardo Andrade CC BY-SA 3.0
fixed math displays
Jul 8, 2013 at 22:42 history edited Ricardo Andrade CC BY-SA 3.0
fixed math displays
Nov 24, 2009 at 7:54 answer added Daniel Moskovich timeline score: 2
Nov 18, 2009 at 18:21 history edited Greg Kuperberg
edited tags
Nov 12, 2009 at 9:01 history edited David E Speyer
edited tags
Nov 12, 2009 at 4:54 history edited Sammy Black CC BY-SA 2.5
The knot must be alternating.
Nov 12, 2009 at 4:50 answer added Steven Sivek timeline score: 18
Nov 12, 2009 at 4:47 vote accept Sammy Black
Nov 12, 2009 at 4:12 comment added Ryan Budney There's definately a lot of non-alternating counter-examples to this conjecture in the knot tables.
Nov 12, 2009 at 4:09 comment added Autumn Kent I think the knot has to be alternating.
Nov 12, 2009 at 4:03 answer added Ryan Budney timeline score: 3
Nov 12, 2009 at 3:24 history asked Sammy Black CC BY-SA 2.5