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Apr 20, 2020 at 5:56 vote accept Jeff
Apr 23, 2020 at 3:36
Apr 19, 2020 at 20:24 comment added Jeff Thanks Kodlu! Your idea of using Polya's Enumeration Theorem sounds like a right track. However, I still didn't see how it applies to my problem. PET can count the number of colorings up to rotation and/or reflection. In my problem, we are counting the number of colorings subject to the constraints f(x)=l, and such constraint seems not equivalent to either rotation or reflection. It is clear that if x is a rotation or reflection of y then f(x)=f(y), but not vice versa. PET still sounds promising and it is just unclear how to view the set {x: f(x)=l} as an equivalent class. Sorry if I miss sth.
Apr 19, 2020 at 9:32 history edited kodlu CC BY-SA 4.0
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Apr 19, 2020 at 4:12 history answered kodlu CC BY-SA 4.0