NILAI KETAKTERATURAN TOTAL SISI DARI GRAF SIPUT

Authors

  • Shapbian Novindasari
  • S Slamin
  • D Dafik

DOI:

https://doi.org/10.19184/kdma.v6i1.1833

Abstract

Abstract. Let G=(V,E) be a simple graph, a labeling is called an edge irregular total k-labelling of G if for any two different edges e and f of G there is, . The total edge irregularity strength denoted by tes G is the smallest positive integer k for which G has an edge irregular total k-labelling. In this paper, we will determine the total edge irregularity strengths of a Snail graph, the union isomorphic and non-isomorphic union of Snail graph, and shackle graph of Snail graph. We show that , for , , for and , , for where natural numbers, and , for and

Key Words: Total edge irregular labeling, Total edge irregularity strength, Snail graph.

 


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Author Biography

Shapbian Novindasari

NILAI KETAKTERATURAN TOTAL SISI DARI GRAF SIPUT

Shapbian Novindasari[1], Slamin[2], Dafik[3]

Abstract. Let G=(V,E) be a simple graph, a labeling is called an edge irregular total k-labelling of G if for any two different edges e and f of G there is, . The total edge irregularity strength denoted by tes G is the smallest positive integer k for which G has an edge irregular total k-labelling. In this paper, we will determine the total edge irregularity strengths of a Snail graph, the union isomorphic and non-isomorphic union of Snail graph, and shackle graph of Snail graph. We show that , for , , for and , , for where natural numbers, and , for and

Key Words: Total edge irregular labeling, Total edge irregularity strength, Snail graph.

 


[1] Mahasiswa Program Studi Pendidikan Matematika FKIP Universitas Jember

[2] Dosen Program Studi Sistem Informasi Universitas Jember

[3] Dosen Program Studi Pendidikan Matematika FKIP Universitas Jember

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Published

2015-04-01

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Section

Articles