A deeplink is a direct link (a direct link) from any site to an internal page of your site.
Is a deeplink more important than a link to the homepage of your site?
It depends on the strategy adopted for promotion. In general, a deeplink is more important than a link to the home page. First of all for the user. He will reach exactly the desired content. Second, for the search engine. He will give more power to that page and that subject.
Are there web directories that accept deplinks?
Yes, there are web directories that accept deplinks but their number is not large!
How can I encourage others to deploy me?
There are several ways to speed up the creation of deployments. The best way is to insert at the end of the article a short text of the form "link to this article" and then place the html code ready formatted to contain the words you want to promote.
That being said, I encourage you to gather "a net" of such links. And don't forget: the key to success is quality content!