High Quality Links
Supporting your positive online mentions means earning plenty of links to a website from many different reputable sources over a long period of time. Flooding a website with too many links all at once is very suspicious and will definitely be the target of a penalty.
The trick to getting good links is to create content so valuable that you could practically sell it. If content is unique and useful, it will draw attention from the kind of websites you want linked to yours.
Ideally, link to high quality, relevant, high page rank sites.
Getting plenty of support through high-quality links to your site will tell search engines that other people online think your content is relevant and authoritative. This, in turn, will strongly influence how search engines rank results