Database: college_completion
Question: List all the public institutes from the state with the least number of graduate cohort in 2013.
SQL: SELECT T1.chronname FROM institution_details AS T1 INNER JOIN state_sector_grads AS T2 ON T1.state = T2.state WHERE T2.year = 2013 AND T1.control = 'Public' ORDER BY T2.grad_cohort LIMIT 1