University of Isfahan Transactions on Combinatorics 2251-8657 15 4 2025 11 11 Proof of a conjecture for the identifying codenumber of the subdivision of graphs 231 234 29983 10.22108/toc.2025.143773.2228 EN Kamran Mirasheh Department of Pure Mathematics Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-19141, Rasht, Iran Ahmad Abbasi Department of Pure Mathematics Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-19141, Rasht, Iran Ebrahim Vatandoost Department of Basic Science, Imam Khomeini International University, P. O. Box 34148-96818, Qazvin, Iran Journal Article 2024 12 25 In this paper, it is proved that the identifying code number of the subdivision graph of $G$ is $n$ where $ |V(G)|=n. $<br />This result proves the conjecture posed in [S. Ahmadi, E. Vatandoost and A. Behtoie, Domination number and identifying code number of the subdivision graphs, <em>J. Algebr. Syst.</em>, <strong>13</strong> no. 2 (2025) pp. 1--11]. https://toc.ui.ac.ir/article_29983_c2da4fc59466df6cd08574ffad74d6a7.pdf