From when you got registered with graduate status in june 2017, you have a 2-year period with unemployment benefits ("dagpenge"), which must be used within a 3-year reference-period.
However, there is a additional rule, saying that if you have NOT received any dagpenge yet, then the last 52 weeks of your education must be within the last 3 years.
And that's why we say on our website, that there in practice is a two-year deadline from the end of your education.
We recommend to get this confirmed by your A-kasse.
Anders Weber, www.a-kasser.dk