Non-linking citations are mentions of a your brand, web address or products that do not link back to your site. They’re generally fairly easy places to go and ask for links.
To find non-linking citations, use the following Google searches:
Find domain name listings that don’t link:
"www.mysite.com" -inanchor:*mysite.com -site:www.mysite.com
Just replace mysite with the site in question.
To find brand mentions that don’t link:
“BRAND NAME” -inanchor:*mysite.com -site:www.mysite.com
Just replace BRAND NAME with the brand.
To find profiles that don’t contain links:
“mysite” intitle:”profile”
Just replace ‘mysite’ with the profile name. Then check to see if there’s a link. If there isn’t one, add it!
Then, you have to contact each webmaster, one at a time, and ask them if they can turn that citation into a link.