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Cube sum labeling of graphs

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1Assistant Professor, Department of Mathematics, Sri Vidya Mandir Arts &amp2Science College,katteri, Uthangarai(TK, Krishnagiri(DT),tamilnadu,india. Thanjavur, India.3Departmento De Cie Ncias Exatas E Engenharia, Academia Militar, Portugal4Research Scholar, Department of Mathematics, Sri Vidya Mandir Arts &amp5Science College,katteri, Uthangarai(TK), Krishnagiri(DT),tamilnadu,india.

* Corresponding Author: V. Govindan. Email:

Annals of Communications in Mathematics 2020, 3 (2), 171-176. https://doi.org/10.62072/acm.2020.030206

Received: 10 July 2020 |

Accepted: 16 August 2020 |

Published: 30 Jun 2020

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Abstract

Here, we define a cube sum labeling and cube sum graph. Let G be a (p, q) graph. G is said to be a cube sum graph if there exist a bijection f : V (G) → {0, 1, . . . , p − 1} such that the induced function f ∗ : E(G) → N given by are all distinct. In this paper, we developed the concept of cube sum labeling of some family of graphs like paths, cycle, stars, wheel graph, fan graphs are discussed in this paper.

Keywords

Cube difference; Cube sum; Labeling of graphs; Sum labelling

Cite This Article

V. Govindan, S. Pinelas, S. Dhivya.

Cube sum labeling of graphs.

Annals of Communications in Mathematics

2020,

3 (2):

171-176.

https://doi.org/10.62072/acm.2020.030206

Copyright © 2020 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).