This is the 7897th most frequent Russian word.
каунасских
The word "каунасских" is the genitive plural form of an adjective meaning "of or relating to Kaunas," a city in Lithuania.
In this sentence, 'каунасских' is an adjective in the genitive plural form, describing 'художников' (artists), indicating their origin from the city of Kaunas.
Я посетил выставку каунасских художников.
I visited an exhibition by Kaunas artists.
Here, 'каунасских' functions as a genitive plural adjective, qualifying 'традиций' (traditions), pointing to traditions associated with Kaunas.
Мы удивились богатству каунасских традиций.
We were amazed by the richness of Kaunas traditions.
In this example, 'каунасских' is used as a genitive plural adjective to characterize 'архитектурных стилей' (architectural styles), denoting their relation to Kaunas.