On The Metric Dimension of Some Operation Graphs

Autor: Marsidi Marsidi, Ika Hesti Agustin, Dafik Dafik, Ridho Alfarisi, Hendrik Siswono
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Cauchy: Jurnal Matematika Murni dan Aplikasi, Vol 5, Iss 3, Pp 88-94 (2018)
Druh dokumentu: article
ISSN: 2086-0382
2477-3344
DOI: 10.18860/ca.v5i3.5331
Popis: 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 .
Databáze: Directory of Open Access Journals