The case was filed by police at nearby Melur under SC/ST prevention of Atrocities Act and various sections of the IPC.
The petitioners submitted that the prosecution case was that one Munivel, also a DMK worker, had filed a complaint alleging that they had abused him using his caste name after erasing wall advertisements he had painted to honour former Union Minister M K Alagiri prior to his January 30 birthday.
The petitioners said they were not in Madurai during the time of the alleged incident and were travelling.
Besides the complaint had been given after an eight-day gap. Munivel had also not stated who were present when they 'abused' him, they said, adding the charges were baseless.
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They also offered to surrender before the Additional Sessions Judge and requested the High Court to consider their anticipatory bail application.
Justice N Sathyanarayana posted the case for hearing on January 29.