%0 Journal Article %T On The Metric Dimension of Some Operation Graphs %A Dafik Dafik %A Hendrik Siswono %A Ika Hesti Agustin %A Marsidi Marsidi %A Ridho Alfarisi %J - %D 2018 %R http://dx.doi.org/10.18860/ca.v5i3.5331 %X 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 %K metric dimension %K resolving set %K operation graphs. %U http://ejournal.uin-malang.ac.id/index.php/Math/article/view/5331