Graph dan digraph dari gelanggang matriks atas gelanggang / Maulana Mohammad Akbar
| Main Author: | Akbar, Maulana Mohammad |
|---|---|
| Format: | Thesis NonPeerReviewed |
| Terbitan: |
, 2018
|
| Subjects: | |
| Online Access: |
http://repository.um.ac.id/17528/ |
Daftar Isi:
- iABSTRAKAkbarMaulanaMohammad.2017.GraphdanDigraphdariGelanggangMatriksatasGelanggang.Skripsi.JurusanMatematikaFakultasMatematikadanIlmuPengetahuanAlamUniversitasNegeriMalang.PembimbingDr.rer.nat.IMadeSulandraM.Si.KataKuncigraphdigraphdiametergelanggangmatrikspembaginol.Misalkan65533merupakansuatugelanggangkomutatifdenganunsursatuandan6553365533(65533)merupakansuatugelanggangmatriksberukuran6553365533yangentrientrinyadi65533.Himpunanpembaginoldari65533dan6553365533(65533)secaraberturut-turutdinotasikan65533(65533)dan65533(6553365533(65533)).Olehkarena65533merupakangelanggangkomutaifdan6553365533(65533)merupakangelanggangtakkomutatifmakadapatterbentuksuatugraph915(65533)pembaginoldari65533dandigraph915(6553365533(65533))pembaginoldari6553365533(65533).Berdasarkanpembaginol65533(65533)dan65533(6553365533(65533))berturut-turutdiperolehgraph915(65533)(65533(915(65533))65533(915(65533)))dandigraph915(6553365533(65533))(65533(915(6553365533(65533)))65533(915(6553365533(65533)))).Denganhimpunantitiknya65533(915(65533))65533(65533)65533(915(6553365533(65533)))65533(6553365533(65533))danhimpunansisi-sisinya65533(915(65533))(6553365533)94746553365533655336553306553365533871265533(65533)65533(915(6553365533(65533)))(6553365533)94746553365533655336553365533871265533(6553365533(65533)).Padagraph915(65533)sisi(6553365533)(6553365533).Padaskripsiiniakandibahasketerhubungandiameterdanbeberapacontohdarikeduagraphitu.Keduagraphtersebutterhubungdanmempunyaidiameterkurangdariatausamadengan3.Selainitu65533655336553365533(915(65533))880465533655336553365533(915(6553365533(65533))).Contohnya65533655336553365533(915(84846))265533655336553365533(915(848412))3dan65533655336553365533(915(655332(84842)))2.