PELABELAN TOTAL TITIK AJAIB PADA GRAF PETERSEN YANG DIPERUMUM

Simangunsong, Johan Wijaya (2015) PELABELAN TOTAL TITIK AJAIB PADA GRAF PETERSEN YANG DIPERUMUM. Undergraduate thesis, UNIMED.

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Abstract

Misalkan G adalah sebuah graf dengan himpunan titik V=V(G) dan himpunan sisi E=E(G). Suatu pelabelan total titik ajaib (vertex-magic total labeling) pada graf G(V,E) adalah pemetaan bijektif λ dari V∪E ke himpunan bilangan integer {1,2,3,…,V+E} sedemikian sehingga terdapat bilangan bulat positif k yang memenuhi λ(x)+Σ λ(xy)=k untuk setiap x,y∈V. Selanjutnya k disebut konstanta ajaib pada G dan G disebut graf total titik ajaib. Hasil kajian menyatakan bahwa untuk graf Petersen 4P(n,m) memiliki bilangan konstanta ajaib k=39n+2 untuk Teorema 4.1.1(a) dan k=40n+2 untuk Teorema 4.1.1(b), untuk graf Petersen 5P(n,m) memiliki bilangan konstanta ajaib k=49n+2 untuk Teorema 4.2.1(a) dan k=50n+2 Teorema 4.2.1(b) dan untuk graf Petersen 6P(n,m) memiliki bilangan konstanta ajaib k=59n+2 untuk Teorema 4.3.1(a) dan k=60n+2 Teorema 4.3.1(b). Sehingga graf Petersen tP(n,m) untuk 4â

Item Type: Thesis (Undergraduate)
Contributors:
ContributionNameNIDN/NIDK
Thesis advisorMulyono, -197112311999031010
Call Number: SK-2015 MAT 021
Keywords: Bilangan Konstanta Ajaib; Graf Petersen; Pelabelan Total Titik Ajaib
Subjects: Q Science > QA Mathematics
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika
Depositing User: Mrs Desy Sry Yani
Date Deposited: 08 Apr 2016 08:34
URI: http://digilib.unimed.ac.id/id/eprint/12278

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