# Antimagic Labeling for Product of Regular Graphs

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Main Results

**Lemma**

**1.**

**Proof.**

**Observation 1.**

**Theorem**

**2.**

**Proof.**

- (i)
- x in ${H}_{i}$ and y in ${H}_{j}$ for $i,j=1,2,\cdots ,n$ and $x\ne {u}_{p}^{i}$ & $y\ne {u}_{p}^{j}$.
- (ii)
- x in G and y in ${H}_{j}$ when $x\ne {u}_{p}^{j}$, $j=1,2,\cdots n.$
- (iii)
- x and y are the vertices of G.

**Theorem**

**3.**

**Proof.**

- (i)
- x in ${H}_{i}$ and y in ${H}_{j}$ for $i,j=1,2,\cdots ,n$.
- (ii)
- x in G and y in ${H}_{j}$ for $j=1,2,\cdots ,n$.
- (iii)
- x and y are the vertices of G.

## 3. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Acknowledgments

## Conflicts of Interest

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**MDPI and ACS Style**

Latchoumanane, V.; Varadhan, M.
Antimagic Labeling for Product of Regular Graphs. *Symmetry* **2022**, *14*, 1235.
https://doi.org/10.3390/sym14061235

**AMA Style**

Latchoumanane V, Varadhan M.
Antimagic Labeling for Product of Regular Graphs. *Symmetry*. 2022; 14(6):1235.
https://doi.org/10.3390/sym14061235

**Chicago/Turabian Style**

Latchoumanane, Vinothkumar, and Murugan Varadhan.
2022. "Antimagic Labeling for Product of Regular Graphs" *Symmetry* 14, no. 6: 1235.
https://doi.org/10.3390/sym14061235