as an EU citizen, who will be graduating in Denmark you have the rights to get unemployment benefits (“dagpenge”) after the graduate rules.
There are som requirements for being eligible for Unemployment benefits as graduate. You can see them here:
If you meet all the requirements, and you are approved for dagpenge by your A-kasse, then you can use the right to go to another EU-country to look for job, and still receive dagpenge from the danish A-kasse for up to 3 month.
You can read about the 3 months job-search period here:
It is very important that you register in the Danish A-kasse (with graduate rights) at latest 14 days after graduation – but you can do it already now.
After you have registered you must ask the A-kasse to issue a PD U2 document for you. This document you have to present for the chech unemployment authority.
Hope it helps
Anders Weber, A-kasser.dk