On The Metric Dimension of Some Operation Graphs

Cauchy: Jurnal Matematika Murni dan Aplikasi

Marsidi Marsidi¹  Ika Hesti Agustin²  Dafik Dafik²  Hendrik Siswono²  Ridho Alfarisi² 

[1] IKIP PGRI JEMBER;University Of jember;

关键词: metric dimension, resolving set, operation graphs.;   

DOI  :  10.18860/ca.v5i3.5331

来源: DOAJ

【 摘 要 】

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 .

【 授权许可】

Unknown