"But what do I say?" The actual process of networking can seem somewhat mysterious, yet it really isn't. You are simply making contact with individuals who may be able to assist in your job search. The best method for making contact with others is to ask for advice. You are not asking for an interview, you are asking for advice. By making advice requests, you can tap into a vast network of people who can assist you in your job search.
The Advice Request Technique is the door opener to asking questions of your network contacts. You can preface your question with: "May I ask your advice about something?" Then ask away. The best follow-up question is: Which are the top five employers that you recommend I contact? Most people are more than willing to help you. It plays well on the vanity factor of who they know and opens the lines of communication for you to ask further questions.