Although removing a connection from LinkedIn isn't as easy as unfollowing on Twitter or unfriending on Facebook, it can still be pretty easy to do...if you know where to look and what to do.
Step 1: Go to your LinkedIn profile page.
Step 2: Look for "Contacts" at top, in blue, on the black strip (it should be third from the left). Click on it.
Step 3: Look for "Remove Connections" to the far right (under the black strip). Click on it.
Step 4: There will be an alphabetized list of your contacts. Tick the box of the person you want to remove. (Note: Only "A" is shown at first. You must click on the appropriate letter corresponding to the contact's last name to get the correct list if the person's name doesn't end in "A").
Step 5: Click the blue rectangle that says "Remove Connections". Expect a pop up to say "Are you sure you want to remove this connection?". Click yes, and the contact is removed.
I hope you found this helpful. LinkedIn really should make it easier to remove connections, don't you think?