Ark. Const. art. 3, § 13

(a) As used in this section, “election” means: (1) A primary election; (2) A special primary election; (3) A general election; and (4) A special election. (b) The General Assembly may enact laws providing that if there is only one (1) person qualified as a candidate for an office after all deadlines for filing as a candidate have passed so that there will be only one (1) name listed on the election ballot for the office and no write-in candidates qualify to appear as candidates for the office on the election ballot: (1) The one (1) candidate for the office shall be declared elected and his or her name shall not appear on the election ballot; (2) The name of the candidate declared elected shall be certified as elected in the same manner as if the candidate had been voted upon at the election; and (3) The election shall not be held if no other office or issue is on the election ballot.