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TOTAL IRREGULARITY STRENGTH OF THREE COPY STAR GRAPH

Yuliana, - (2020) TOTAL IRREGULARITY STRENGTH OF THREE COPY STAR GRAPH. Skripsi thesis, Universitas Islam Negeri Sultan Syarif Kasim Riau.

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Abstract

TOTAL IRREGULARITY STRENGTH OF THREE COPY STAR GRAPH YULIANA NIM:1554201778 Date of Final Exam: 28 July 2020 Date of Graduation: Mathematics Department Faculty of Science and Technology State Islamic University of Sultan Syarif Kasim Riau Jl. HR. Soebrantas No.155 Pekanbaru Abstract Suppose G(V,E) is a graph and k is positive integer. A total k-labeling on a graph G is a mapping that carries of graph elements, denoted by :V∪E→{1,2,…,k} . The weight of the vertex is represented by the sum of every the label of vertex and labels of edges that incident with vertex where as the weight of the edge is represented by the sum of every the label of vertex and label of edges that incident with edge. A total k-labeling λ:V∪E→{1,2,…,k} said irregular total labeling of G, if the weight of the vertex is different and the weight of the edges is also different. The minimum k such that a graph has a totally irregular total k -labeling is called the total irregularity strength of, denoted by ts(G). In this research discusses about the total irregularity strength of three copy star graph, where the set of vertices of each multiplication result is missing. The result of this research, we determine the total irregularity strength of the three copies of star denoted by ts(〖3S〗_n) obtained ts(〖3S〗_n )= Keywords:Tthree copies of star, total irregularity strength, totally irregular total labeling.

Item Type: Thesis (Skripsi)
Subjects: 500 Ilmu-ilmu Alam dan Matematika > 510 Matematika
000 Karya Umum
Divisions: Fakultas Sains dan Teknologi > Matematika
Depositing User: fsains -
Date Deposited: 28 Aug 2020 02:30
Last Modified: 28 Aug 2020 02:30
URI: http://repository.uin-suska.ac.id/id/eprint/29777

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