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May
27
comment counting simple, connected graphs
Oh. Well, now I feel silly. Thank you very much for the answer.
May
27
comment counting simple, connected graphs
@Phira I'm perfectly comfortable with sigma notation, but not this exp thing.
May
27
comment counting simple, connected graphs
@Phira Thanks for the answer. Unfortunately, I'm just some kid without much of a mathematics background, so I don't quite get most of your explanation. The first line makes sense, but what was your thought process in introducing G(x) and C(x), and what does the exp function do? Thanks!
May
27
awarded  Editor
May
27
revised counting simple, connected graphs
edited title
May
27
comment counting simple, connected graphs
Ach, sorry! I meant "simple, connected," not "simply connected," which I don't think is a term in graph theory. That must be the source of confusion.
May
27
awarded  Student
May
27
comment counting simple, connected graphs
Not necessarily a treeā€”it can have cycles. That's also why there are four for n=3, rather than just three.
May
27
asked counting simple, connected graphs