On The Metric Dimension of Some Operation Graphs
Main Authors: | Marsidi, Marsidi, Agustin, Ika Hesti, Dafik, Dafik, Alfarisi, Ridho, Siswono, Hendrik |
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Format: | Article info application/pdf eJournal |
Bahasa: | eng |
Terbitan: |
Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang
, 2018
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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 .