Sec. 9. (a) The device of each political party described in section 6 of this chapter shall be:
(1) enclosed in a circle not less than three-fourths (3/4) of an inch in diameter; and
(2) placed under the name of the party or independent ticket, as required by section 10 of this chapter.
(b) A device of a political party must not be printed on a ballot if:
(1) there are no candidates of that political party; or
(2) the only candidates:
(A) of the political party; or
(B) that have stated an affiliation with the political party under IC 3-8-2.5-2.5(a)(5);
are for election to school board offices or offices to which more than one (1) individual is to be elected and which will not be credited with a vote under IC 3-12-1-7 or IC 3-12-1-7.1 if a voter casts a straight party ticket.