Chromatic polynomial of cycle on 4 vertices Part 2

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thank you so much! finally understand chromatic polynomial on 4+ verticies! no other video covers this "Remove/Coalesce" or "Cut/Stitch" method as good as this one! thanks!

mf-mies
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I would have put x-2 on vertices 2 & 4 since those can be the same color without harming anything, but I don't know if that's right. x-1 would be vertex 3 since it has to be different from v1, otherwise, why are both v3 & v4 the same, since neither one can be the same color as the other? I never imagined in my life that a square could be so confusing.

SequinBrain