Open AccessHubungan Dimensi Metrik Ketetanggaan dan Dimensi Metrik Ketetanggan Lokal Graf Hasil Operasi Kali Korona
Author(s) -
Virdina Rahmayanti,
Mohammad Imam Utoyo,
Liliek Susilowati
Publication year - 2020
Publication title -
contemporary mathematics and applications
Language(s) - English
Resource type - Journals
ISSN - 2686-5564
DOI - 10.20473/conmatha.v2i1.19299
Subject(s) - adjacency list , mathematics , combinatorics , graph energy , graph , discrete mathematics , adjacency matrix , metric dimension , graph power , line graph , pathwidth
Adjacency metric dimension and local adjacency metric dimension are the development of metric dimension. The purpose of this research is to determine the adjacency metric dimension of corona graph between any connected graph G and non-trivial graph H denoted by dimA(G⊙H), to determine the local adjacency metric dimension of corona graph between any connected graph G and non-trivial graph H denoted by dimA,l(G⊙H), and to determine the correlation between adjacency metric dimension and local adjacency metric dimension of corona product graph operations. In this research, it is found out that the value of adjacency metric dimension of G⊙H graph is affected by the basic characteristic of H and the domination characteristic. Meanwhile, the value of local adjacency metric dimension of G⊙H graph is only affected by the basic characteristic of H Futhermore, it is found a correlation of adjacency metric dimension and local adjacency metric dimension of corona product graph between any connected graph G and non-trivial graph H.