DIMENSI METRIK DARI GRAF HASIL IDENTIFIKASI

Authors

  • Kristiana Wijaya Graph and Algebra Research Group Jurusan Matematika, FMIPA Universitas Jember

DOI:

https://doi.org/10.25077/jmua.11.3.199-209.2022

Keywords:

Dimensi metrik, himpunan pembeda, identifikasi dua graf

Abstract

Pada paper ini dibahas mengenai dimensi metrik dari graf hasil identififikasi. Dimensi metrik dari sebuah graf G, dinotasikan dengan dim(G), adalah kardinalitas paling kecil dari setiap himpunan pembeda di G. Poisson dan Zhang telah memberikan batas bawah dan atas dimensi metrik dari graf hasil identifikasi. Pada paper ini dibahas dimensi metrik dari graf reguler yang diidentifikasi dengan graf lintasan. Selain itu, diberikan juga kelas-kels graf yang hasil identifikasinya mempunyai dimensi metrik tepat sama dengan batas bawah yang dihasilkan oleh Poisson dan Zhang.

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Published

30-07-2022

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Vol. 11 No. 3 (2022)

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