The 13th Conference on Graph Theory and Algebraic Combinatorics (13GTACC) is a conference that is organized every year. The aim of this conference is to exchange research ideas among the algebraic combinatorics. In addition, specialists in the subject of graph theory and combinatorics can present their latest research works and encourage interested students to progress and widen their knowledge of combinatorics and graph theory. The 13th Conference on Graph Theory and Algebraic Combinatorics will be held in the Department of Mathematics, Shahid Rajaee Teacher Training University, Tehran, Iran on 28-29 May 2025. We welcome all mathematicians around the world to participate in the conference as speakers and listeners.