Metric Dimension of Shackle Operation C_3 Cycle Graph

Authors

  • St. Munieroh Fachrunnisa Universitas Hasanuddin
  • Hasmawati Hasmawati
  • Amir Kamal Amir

DOI:

https://doi.org/10.20956/j.v19i2.22957

Keywords:

Metric Dimension, Shackle Operation, Cycle Graph

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.

References

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Published

2023-01-05

How to Cite

Fachrunnisa, S. M. . ., Hasmawati, H., & Amir, A. K. . (2023). Metric Dimension of Shackle Operation C_3 Cycle Graph. Jurnal Matematika, Statistika Dan Komputasi, 19(2), 317–322. https://doi.org/10.20956/j.v19i2.22957

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Research Articles

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