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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
St. Munieroh Fachrunnisa
Universitas Hasanuddin
Mathematics

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Dimensi Metrik dari Hasil Operasi Shackle Graf Siklus C_3 St. Munieroh Fachrunnisa; Hasmawati Hasmawati; Amir Kamal Amir
Jurnal Matematika, Statistika dan Komputasi Vol. 19 No. 2 (2023): JANUARY 2023
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v19i2.22957

Abstract

Let G be a connected graph and W be a ordered vertices subset on a connected graph . The set W is called resolving set for G if every vertex on graph G has distinct representation of W. A resolving set containing a minimum number of vertices is called resolving set minimum or basis for G and the cardinality of resolving set is the metric dimension on graph G, denoted by dim(G). In the thesis discusses about metric dimensions of shackle operation C3 cycle graph, dim(Shack(C31,C32,…,C3k:v31=v12,v32=v13,…,v3k-1=v1k ))=2 for k>=2 . To proof this results, we was used mathematical induction method.
Co-Authors Amir Kamal Amir Hasmawati Hasmawati