I was a student at a university and i was provided free Microsoft applications through Microsoft Imagine. I have graduated but i still have those applications especially Visual Studio Enterprise 2015. I would like to know am i permitted to use this application and can i publish the applications developed using this software.
No, you cannot as it violates the terms of the student licence for Microsoft Visual Studio.
You can, however, use the Community version of Visual Studio to publish those apps - it lacks some of the features of the Enterprise version, most notably the team integration features but if you are doing this one off that shouldn't bother you.