On The Metric Dimension of Some Operation Graphs

Main Authors: Marsidi, Marsidi, Agustin, Ika Hesti, Dafik, Dafik, Alfarisi, Ridho, Siswono, Hendrik
Format: Article info application/pdf eJournal
Bahasa: eng
Terbitan: Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang , 2018
Subjects:
Online Access: http://ejournal.uin-malang.ac.id/index.php/Math/article/view/5331
http://ejournal.uin-malang.ac.id/index.php/Math/article/view/5331/pdf
http://ejournal.uin-malang.ac.id/index.php/Math/article/downloadSuppFile/5331/350
Daftar Isi:
  • Let be a simple, finite, and connected graph. An ordered set of vertices of a nontrivial connected graph is and the -vector represent vertex that respect to , where and is the distance between vertex and for . The set called a resolving set for if different vertex of have different representations that respect to . The minimum of cardinality of resolving set of G is the metric dimension of , denoted by . In this paper, we give the local metric dimension of some operation graphs such as joint graph , amalgamation of parachute, amalgamation of fan, and .