Speak up! Find a post relevant to the sphere of your activity and express your opinion. The right connections will find you. Who would mind networking?
Retweet popular people of your niche
But do not just retweet thoughtlessly, read the content, understand it, and express your attitude towards it in the retweet, add a useful remark.
Message your followers
How else can you establish contact with your fans? First, send them your greetings.
If you got a new follower, send him/her your "hi, what's up, thanks for following me." Thus, you contact each user personally, connect with them, and make them more engaged in what you are doing.
And here I can strike you with a piece of good news - Bigbangram has introduced new direction - Twitter promotion - now you can message your followers on Twitter automatically! My god, finally! No more time-wasting - you welcome your followers with beautiful words in auto-mode.