Nurfitriyani, Witri (2021) Nilai total ketakteraturan wajah dari Graf Berlian (〖Br〗_n). Diploma thesis, UIN Sunan Gunung Djati Bandung.
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Abstract
INDONESIA : Pada tahun 2016, Muthu Guru Packiam memperkenalkan pelabelan-k total tak teratur wajah dari graf bidang terhubung G. Suatu pelabelan total λ∶V∪E ⟶{1,2,…,k} ┤ dari graf bidang terhubung G=(V,E,F) dinamakan pelabelan-k total tak teratur wajah, jika untuk setiap dua wajah yang berbeda f dan g maka bobot wajah keduanya w_λ (f) dan w_λ (g) berbeda. Bobot wajah f dengan pelabelan λ adalah jumlah label dari semua titik dan sisi di sekitar wajah f. Nilai k terkecil sehingga graf bidang G memiliki pelabelan-k total tak teratur wajah disebut nilai total ketakteraturan wajah yang dinotasikan dengan tfs(G). Pada skripsi ini, ditentukan nilai total ketakteraturan wajah dari graf berlian (〖Br〗_n) dan akan membuktikan bahwa tfs (〖Br〗_n )= ⌈(3n+1)/6⌉, untuk n≥3 ENGLISH : In 2016 Muthu Guru Packiam introduced a face irregular total labeling of connected graf G. A total k-labeling λ∶V∪E ⟶{1,2,…,k} ┤ of a connected plane graph G=(V,E,F) is called an face irregular total k-labeling if for any two different faces f and g their weight w_λ (f) and w_λ (g) are distinct. The weight of a face f under labeling λ is the sum of the labels of all vertices and the edges surrounding f. The minimum k for which a plane graph G has a face irregular total k-labeling is called total face irregularity strength of G and it is denoted by tfs(G). In this paper, we discuss the total face irregularity strength of diamond graphs (〖Br〗_n) and prove that tfs (〖Br〗_n )= ⌈(3n+1)/6⌉, for n≥3
| Item Type: | Thesis (Diploma) |
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| Uncontrolled Keywords: | Pelabelan total tak teratur wajah; Nilai total ketakteraturan wajah; graf berlian;face irregular total; total face irreguarity strength; diamond graph. |
| Subjects: | Mathematics |
| Divisions: | Fakultas Sains dan Teknologi > Program Studi Matematika |
| Depositing User: | Witri Nurfitriyani |
| Date Deposited: | 23 Feb 2021 04:34 |
| Last Modified: | 23 Feb 2021 04:34 |
| URI: | https://digilib.uinsgd.ac.id/id/eprint/37235 |
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