search it fastest by name

What is the best way to index a website to search it easily by name or domain ?

Just publish content, and your site will be found, once you get to about 50 good posts I find, then you pretty much get google checking your site everyday for updates. So you get indexing in a day, and your page is searchable, is that what you mean?

Just focus on your content quality and publish it. you site will be automatically rank up.