To identify the association of the Liberhan Commission:
1. The Liberhan Commission was established to investigate the demolition of the Babri Masjid in Ayodhya on December 6, 1992, submitting its report in 2009 after 17 years.
2. It was not related to Centre-State relations, tax reforms, or the Godhra train carnage.
3. Its focus was on the communal incident and its circumstances.
Therefore, the correct answer is (1) Babri Masjid demolition.