We don't have synonyms for luhans'k yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are luhansk and lugansk.
(n) :
Alternative form of Luhansk. [(city) A city, the administrative capital of Luhansk Raion, Luhansk Oblast in the Donbas region, in eastern Ukraine, former administrative capital of the eponymous provonce.]
(n) :
Alternative form of Luhansk. [(city) A city, the administrative capital of Luhansk Raion, Luhansk Oblast in the Donbas region, in eastern Ukraine, former administrative capital of the eponymous provonce.]