Shahid Bahonar University of Kerman Journal of Mahani Mathematical Research 2251-7952 14 1 2025 01 01 The adjacency dimension of some path related trees 369 386 4501 10.22103/jmmr.2024.22886.1576 EN Elham Hardany Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box: 34149-16818, Qazvin, Iran Ali Behtoei Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box: 34149-16818, Qazvin, Iran Journal Article 2024 01 30 ‎Since the problem of computing the adjacency dimension of a graph is NP-hard‎, ‎finding the adjacency dimension of special classes of graphs or obtaining good bounds on this invariant is valuable‎. ‎In this paper we determine the properties of each adjacency resolving set of paths. ‎Then, ‎by ‎using ‎these ‎properties,‎ we determine the adjacency dimension of broom and double broom graphs‎. https://jmmrc.uk.ac.ir/article_4501_18f407af7d61bab854c663f671bb11b8.pdf