Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Vol 10 No 2 (2018): Jurnal Ilmiah Matematika dan Pendidikan Matematika

### PELABELAN TOTAL TAK REGULER PADA BEBERAPA GRAF

Nugroho Arif Sudibyo (STMIK Duta Bangsa)
Siti Komsatun (STMIK Duta Bangsa)

Publish Date
28 Dec 2018

#### Abstract

For a simple graph G with vertex set V (G) and edge set E(G), a labeling $\Phi:V(G)\cup U(G)\rightarrow\{1,2,...k\}$ is called a vertex irregular total k- labeling of G if for any two diferent vertices x and y, their weights wt(x) and wt(y) are distinct. The weight wt(x) of a vertex x in G is the sum of its label and the labels of all edges incident with the given vertex x. The total vertex irregularity strength of G, tvs(G), is the smallest positive integer k for which G has a vertex irregular total k-labeling. In this paper, we study the total vertex irregularity strength of some class of graph.

Journal Info

Abbrev

jmp

Publisher

Subject

Mathematics

Description

JMP is a an open access journal which publishes research articles, reviews, case studies, guest edited thematic issues and short communications/letters in all areas of mathematics, applied mathematics, applied commutative algebra and algebraic geometry, mathematical biology, physics and engineering, ...