Pelabelan total super (a,d) - C4 - antimagic pada graph buku (Bn) / Ninuk Dwi Septiyana
| Main Author: | Septiyana, Ninuk Dwi |
|---|---|
| Format: | Thesis NonPeerReviewed |
| Terbitan: |
, 2018
|
| Subjects: | |
| Online Access: |
http://repository.um.ac.id/17549/ |
Daftar Isi:
- vRINGKASANSeptiyanaN.D.2018.PelabelanTotalSuper(119886119889)872211986248722AntimagicPadaGraphBuku(119861119899).SkripsiJurusanMatematikaFakultasMatematikadanIlmuPengetahuanAlamUniversitasNegeriMalang.PembimbingProf.Drs.PurwantoPh.D.KataKunciPelabelangraphpelabelantotal(ad)87221198678722antimagicpelabelantotalsuper(ad)8722C48722antimagicpadagraphbuku(Bn).Pelabelangraphadalahsuatupemetaansatu-satudanonto(fungsibijektif)yangmemetakanhimpunandarielemen-elemengraph(titikdansisi)kehimpunanbilanganbulatpositif.Suatupelabelantotal(119886119889)87221198678722119886119899119905119894119898119886119892119894119888padagraph119866adalahsebuahfungsibijektif1198918758119881(119866)8746119864(119866)8594123...119881(119866)119864(119866)dimanaberlakuuntuksemuasubgraph1198678242dari119866yangisomorfikdengan119867.Himpunandari1198678242totaladalah120596(1198678242)931119891(119907)119907120598119881(1198678242)931119891(119890)119890120598119864(1198678242)yangmembentukbarisanaritmatika1198861198861198891198862119889119886(11989987221)119889dimana1198860dan11988988050adalahbilanganbulatpositifdan119899adalahbanyaknyasubgraphisomorfikpada119867.Padakasusinidikatakanbahwa119866adalah(119886119889)87221198678722119886119899119905119894119898119886119892119894119888.Ketika119891(119881(119866))123119907119866119891adalahpelabelantotalsuper(119886119889)87221198678722119886119899119905119894119898119886119892119894119888dan119866adalahsuper(119886119889)87221198678722119886119899119905119894119898119886119892119894119888.Padapenulisaniniakandibuktikanbahwagraphbuku(119861119899)merupakanpelabelantotalsuper(119886119889)872211986248722119886119899119905119894119898119886119892119894119888.Pertamamencaribatasatas119889denganmenggunakanteorema3.1kemudianmenentukannilai119886denganmencaripolapelabelannya.Hasilpenulisaniniberupateoremabarumengenaipelabelantotalsuper(119886119889)872211986248722119886119899119905119894119898119886119892119894119888padagraphbuku(119861119899)dengan11988987120123420untuk1198992dan11988987121357untuk1198992.