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December 15th, 2012, 02:27 PM   #1
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How to express a chromatic polynomial as a falling factorial

How do i express a chromatic polynomial as a falling factorial function?
[attachment=0:szbeqan8]Capture.JPG[/attachment:szbeqan8]
I understand the join-product, but it seems that in order to apply it I'd need to convert the chromatic polynomials into falling factorial functions
like
and
and i dunno how to express that as a falling factorial

edit: i think i kinda get it .... but i'm getting:



and
edit2: holy crap, it totally does =
thanks everybody XD this is why i love this forum ... even when noone's responding it's still helpful XD
my only question left is how do i do this without actually drawing out all the picture and using chromatic reduction?
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December 15th, 2012, 02:48 PM   #2
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Re: How to express a chromatic polynomial as a falling facto

nm, pls delete post
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December 15th, 2012, 03:46 PM   #3
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Re: How to express a chromatic polynomial as a falling facto

nm, pls delete post
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