Inverness CT begin their Scottish Championship campaign at home to Dundee United on the opening day of the season.
Brechin City Football
Dundee and Dundee United are drawn in the same section for next season's Scottish League Cup group stages.
Edinburgh rivals Hearts and Hibernian are in different seedings pots for Friday's Betfred League Cup first-round draw.
After a pulsating play-off second leg, Brechin City beat Alloa on penalties to win promotion to the Scottish Championship.