How to introduce myself to a girl on linkedin?

[Paul]

I requested a her to add me on her professional network on linkedin and she did instantly.
My intention is to ask her out for a 'business lunch' more like a work lunch buddy and not for really dating. Since we graduated from same university, i'm sure we'll have lots in common. Any idea on how to break the ice? An example will help, and thanks.

[Sylvia]

LinkedIn is NOT a dating site. Find her on Facebook and start a conversation with her there. Asking her out, even on the pretense of it being a "business lunch" is very unprofessional.