Is linking someones article with our site a violation of Copy Right Act?

No. Linking is not copying. Web pages are publicly accessible, and nobody can tell you not to lead people to it. However, the issue of "deep linking", which bypasses a website's main page and deprives it of advertising revenue, is an issue the courts are currently working on. I hope they don't make that illegal, because the web owes it's very existence to the unrestricted use of hyperlinks. Apparently, some baby-boomer corporate executives still don't quite get the concept of this "web" thing.

No, you are simply directing "Person A"'s attention to the work of "Person B". This is not illegal, in fact most authors prefer it. You are simply spreading the creators own work, through the medium that they put it out there in the first place. An intermediary. The same as any search engine.

It can be. If the owner of the Intellectual Property (IP) bars linking to the IP then you are in violation of their copyright.