It's better to use 'style' rather than 'genre' when talking about clothes. Genre is used for literature, films and music (isn't it the same word in Russian :)).
'style' is singular
no article with break-dancing as you are talking about the general concept, rather than a specific example.
So,
A whole style of dressing is also associateD with break-dancing.
This is passive voice, so is + 3rd form.