Hi,
yes if the master in it self meets the requirements for giving right to Unemployment benefits as graduate.
This means that the master must have a duration of at least 18 months (3 semestres), it must be public recognized (if you can receive SU during master studiy it is also public recognized).
A “normal” master degree from a danish University will meet the requirements, and can therefor give right to a new 2-year period with dagpenge after the graduate rule.
Let me know if you have comments.
Best regards,
Anders Weber, A-kasser.dk