Ramdani, Dewi Santri (2022) REPRESENTASI GRAF IRISAN DARI GRUP DIHEDRAL D_2n DAN NUMERICAL INVARIANTS-NYA. S1 thesis, Universitas Mataram.
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Abstract
One of the concepts in mathematics that developing rapidly today is Graph Theory. The development of Graph Theory has been combined with Group Theory, that is by representing a group in a graph. The intersection graph of group D, noted by T_D, is a graph whose vertices are all non-trivial subgroups of group D and two distinct vertices H, K are adjacent in T_D if and only if the intersection is not an empty set. In this research, we study the shapes of intersection graph of a Dihedral group D_2n and its numerical invariants. The obtained results are if n=p^k for k>1, then T_D has a subgraph K_{k+p^1+p^2+...+p^{k-1}} and n subgraphs K_k, girth of T_{D_2n} is 3, radius and diameter of T_{D_2n} are 2 and 3, and respectively chromatic number of T_{D_2n} is k+p^1+p^2+...+p^{k-1}.
| Item Type: | Thesis (S1) |
|---|---|
| Keywords (Kata Kunci): | chromatic number, diameter, girth, radius, subgraph |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Fakultas Matematika dan ilmu Pengetahuan Alam |
| Depositing User: | Dr. I Gede Adhitya Wisnu Wardhana |
| Date Deposited: | 03 Oct 2022 04:05 |
| Last Modified: | 03 Oct 2022 04:06 |
| URI: | http://eprints.unram.ac.id/id/eprint/32150 |
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