# On the Modular Irregularity Strength of Some Graph
> Shulhany A.

URL kanonis: https://discover.unhas.ac.id/publications/on-the-modular-irregularity-strength-of-some-graph
Jurnal / Konferensi: Aip Conference Proceedings
Tahun terbit: 2022
DOI: https://doi.org/10.1063/5.0102490
Citations: 1

## Authors
- Shulhany A.

## Abstract
Let G be a simple graph of order n, with no component of order two. Define an edge l-labeling θ:E(G)→{1,2,…,1}. Let xϵV(G), the weight of x is the sum of the l-labels of all its incident edges, denoted by α(x)=Σ░⟦θ(xy)⟧. The edge l-labeling is said modular irregular l-labeling of G if there exists a bijective weight α-function from V(G) to the group of integers modulo n. The smallest positive integer l such that G has a modular irregular l-labeling is said the modular irregularity strength of G, denoted by ms(G). Write ms(G)=∞, if G has no modular irregular strength. In this paper, we find ms of some graph classes, i.e. sunlet graphs, cycle barbell graphs, and m-Harary cycle graphs.

## Keywords
- Combinatorics
- Bijection
- Mathematics
- Graph
- Modulo
- Simple graph
- Integer (computer science)
- Modular design
- Modular form
- Discrete mathematics
- Computer science
- Pure mathematics
- Operating system
- Programming language

---
Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
Saat mengutip, gunakan DOI bila tersedia atau URL kanonis di atas.