@article{IPI1148499,
title = "On the Local Adjacency Metric Dimension of Generalized Petersen Graphs",
journal = "Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang",
volume = "Vol 6, No 1 (2019): CAUCHY: Jurnal Matematika Murni dan Aplikasi",
pages = "",
year = "2019",
url = http://ejournal.uin-malang.ac.id/index.php/Math/article/downloadSuppFile/6487/579
author = "Marsidi, Marsidi; Dafik, Dafik; Agustin, Ika Hesti; Alfarisi, Ridho",
abstract = "The local adjacency metric dimension is one of graph topic. Suppose there are three neighboring vertex , , Â in path . Path Â is called local if Â where each has representation: a is not equals Â and Â may equals to . Letâ€™s say, . Â For an order set of vertices , the adjacency representation of Â with respect to Â is the ordered -tuple , where Â represents the adjacency distance . The distance Â defined by 0 if , 1 if Â adjacent with , and 2 if Â does not adjacent with . The set Â is a local adjacency resolving set of Â if for every two distinct vertices , Â and Â adjacent with y then . A minimum local adjacency resolving set in Â is called local adjacency metric basis. The cardinality of vertices in the basis is a local adjacency metric dimension of , denoted by . Next, we investigate the local adjacency metric dimension of generalized petersen graph.",
}