| dc.contributor.advisor | Syahmarani, Aghni | |
| dc.contributor.author | Br Ginting, Seykha Riskiyani | |
| dc.date.accessioned | 2025-07-24T03:10:47Z | |
| dc.date.available | 2025-07-24T03:10:47Z | |
| dc.date.issued | 2025-07-22 | |
| dc.identifier.uri | https://repositori.usu.ac.id/handle/123456789/106732 | |
| dc.description.abstract | This study discusses automorphisms in fan graphs, which are formed by combining a
friendship graph Fn and a path graph pm, with one of the end vertices in the path graph
pm directly connected to the central vertex of Fn. The main objective of this study is to
determine the number of automorphisms of the fan graph Fnpm and to examine whether
the automorphisms of the fan graph Fnpm form a group. The method used in this study
is literature review. Based on the characteristics of the fan graph, it was found that
automorphisms only occur in the triangular part of the graph Fn, whereas the path pm
has only the identity automorphism due to restrictions in vertex swapping. The results
of the study show that the number of automorphisms of the fan graph Fnpm is 2n.n! for
n ≥2, and the automorphisms of the fan graph Fnpm form a group. | en_US |
| dc.language.iso | id | en_US |
| dc.publisher | Universitas Sumatera Utara | en_US |
| dc.subject | Automorphism | en_US |
| dc.subject | Fan Graph | en_US |
| dc.subject | Graph Theory | en_US |
| dc.subject | Group | en_US |
| dc.title | Automorfisma Graf Kipas Angin | en_US |
| dc.title.alternative | The Automorphism of A Fan Graph | en_US |
| dc.type | Thesis | en_US |
| dc.identifier.nim | NIM210803043 | |
| dc.identifier.nidn | NIDN0009128703 | |
| dc.identifier.kodeprodi | KODEPRODI44201#Matematika | |
| dc.description.pages | 51 Pages | en_US |
| dc.description.type | Skripsi Sarjana | en_US |
| dc.subject.sdgs | SDGs 4. Quality Education | en_US |
