Position and Function of an information security specialist

I assume that by "graduate" you mean a student that has graduated from an university. 

ISO 27001 has no requirements in this respect - usually, people with less experience could be a part of a security team, but not lead the security team. 

Here are some articles that can help you: 

• Roles and responsibilities of top management in ISO 27001 and ISO 22301 https://advisera.com/27001academy/blog/2014/06/09/roles-and-responsibilities-of-top-management-in-iso-27001-and-iso-22301/ 
• Who should be your project manager for ISO 27001/ISO 22301? https://advisera.com/27001academy/blog/2014/12/01/who-should-be-your-project-manager-for-iso-27001-iso-22301/

These materials will also help you on how to position yourself in ISO 27001 implementation:
- Book Secure & Simple: A Small-Business Guide to Implementing ISO 27001 On Your
Own https://advisera.com/books/secure-and-simple-a-small-business-guide-to-implementing-iso-27001-on-your-own/
- Free online training ISO 27001 Foundations Course
https://advisera.com/training/iso-27001-foundations-course/