Kievan Rus-Belarus (white Ruthenia)-Russia (Ruthenia).
Rusin is also much older than term Ukrainian, and it's somehow silly to name your nation "Border land" (Ukrajina).
They do that to avoid name "Little Russia".
Anyway, Rusins should be recognized by Ukraine, when they didn't embrace Ukrainian ethnicity.
One Rusyn guy left comment: "I would like Ukrainians who deny Rusyns as a separate nationality to solve a simple problem.
I am Lemko and consider myself Rusyn. I do not identify with the Ukrainian national ethos, I don't treat Ukrainian culture and language as my own culture and language. Ukrainian national symbols, the history of Ukraine, Ukrainian songs do not evoke any patriotic emotions in my soul.
Do you still claim that I am a member of your Ukrainian nation?"