You can follow these tips and your account will grow in the short trem:
- active network every day;-
- use LinkedIn groups (share original content from your blog or article you find interesting, read other group memebers' posts and give good advices);
- include keywords in your profile;
- be a power networker who attracts other networkers.

Here is a list of suggestions which will help you to grow your network:
- start with full profile to have more recommendations of people;
- Going LinkendIn groups and respond to other peoples' questions and posts, and share your own;
- seek out specific people;
- find people who are a good fit for you (work in the industry or company like you) and link up to them;
- give others the opportunity to connect with you, include URL in your profile in your email signature and post it is your job cover letters;

TomWest and HayleyS thank you for your good advice...

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Linkedin is not that much helpful for me other than my office colleagues and friends. Growing network on linjedin would not yield anything except unwanted mails from others.

Just be friendly with others. Build a friendly environment within your profile. Meet new people who has the same interest as yours.