Texas Election Code - ELEC § 145.005. Effect of Votes Cast for Deceased, Withdrawn, or Ineligible Candidate

(a) If the name of a deceased, withdrawn, or ineligible candidate appears on the ballot under this chapter, the votes cast for the candidate shall be counted and entered on the official election returns in the same manner as for the other candidates.

(b) If the deceased, withdrawn, or ineligible candidate receives the vote required for election, the resulting vacancy shall be filled in the regular manner.

(c) If the deceased, withdrawn, or ineligible candidate and another candidate tie for the most votes in an election in which a plurality vote is sufficient for election, the other candidate is considered to be elected.  If more than one other candidate is tied with the deceased, withdrawn, or ineligible candidate, the winner of the election shall be determined by resolving the tie between the other candidates in the regular manner for resolving a tie vote in the election.

(d) In a race in which a runoff is required, if the deceased, withdrawn, or ineligible candidate received the vote that would entitle the candidate to a place on the runoff election ballot or tied for that number of votes, the candidates in the runoff shall be determined in the regular manner but without regard to the votes received by the deceased, withdrawn, or ineligible candidate.