LaTeX has a lot of different fonts and symbols that can be used in math mode (see What are all the font styles I can use in math mode?). However the capital G character in these fonts are either based on the traditional roman alphabet (they literally look like this G) or are a script variant resembling the following image:
While some may like this style, I am personally more a fan of the alternate script G (common to cursive and certain logos like General Mills):
This is a vector based drawing I made of that variant. My question is how can I best include this single letter so that way in math mode I can call it?
Following @PietvanOostrum's answer I now have:
which, while not perfect, I like better than the alternative:

for describing a directed graph G with vertex set V and arc set A.
Or now a third variant based on kurrent:

V and A are made by the \mathbf{} command.
How come they are raised so high?




\includegraphics) or do you have a font with a glyph that shape (which I would never have guessed to be a G!) in which case we'd need to know the font name and character number to suggest any code. – David Carlisle Dec 07 '16 at 13:15\includeimage[height=1.2ex]{myg}but depends a bit whether you want cut and paste or search from the pdf to "know" it's a G in which case a font would be easier, if you have one – David Carlisle Dec 07 '16 at 13:21